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Finding the Fourth Proportional to 2,046.06, 3,069.09 and 585.21

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Solution

The fourth proportional to 2,046.06, 3,069.09 and 585.21 is: 877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.06 : 3,069.09 = 585.21 : x
  2. Step 2: Convert to fraction form
    2,046.06/3,069.09 = 585.21/x
  3. Step 3: Cross multiply
    2,046.06x = 3,069.09 × 585.21
  4. Step 4: Simplify right side
    2,046.06x = 1,796,062.16
  5. Step 5: Solve for x
    x = 1,796,062.16/2,046.06
  6. Step 6: Final answer
    x = 877.82

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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.