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Finding the Fourth Proportional to 2,046.09, 3,069.68 and 585.36

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Solution

The fourth proportional to 2,046.09, 3,069.68 and 585.36 is: 878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.09 : 3,069.68 = 585.36 : x
  2. Step 2: Convert to fraction form
    2,046.09/3,069.68 = 585.36/x
  3. Step 3: Cross multiply
    2,046.09x = 3,069.68 × 585.36
  4. Step 4: Simplify right side
    2,046.09x = 1,796,867.88
  5. Step 5: Solve for x
    x = 1,796,867.88/2,046.09
  6. Step 6: Final answer
    x = 878.20

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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.