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Finding the Fourth Proportional to 2,046.26, 3,069.59 and 585.63

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Solution

The fourth proportional to 2,046.26, 3,069.59 and 585.63 is: 878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.26 : 3,069.59 = 585.63 : x
  2. Step 2: Convert to fraction form
    2,046.26/3,069.59 = 585.63/x
  3. Step 3: Cross multiply
    2,046.26x = 3,069.59 × 585.63
  4. Step 4: Simplify right side
    2,046.26x = 1,797,643.99
  5. Step 5: Solve for x
    x = 1,797,643.99/2,046.26
  6. Step 6: Final answer
    x = 878.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,047.26, 3,071.09 and 586.63
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.