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Finding the Fourth Proportional to 3,057.16, 4,585.74 and 865.90

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Solution

The fourth proportional to 3,057.16, 4,585.74 and 865.90 is: 1,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.16 : 4,585.74 = 865.90 : x
  2. Step 2: Convert to fraction form
    3,057.16/4,585.74 = 865.90/x
  3. Step 3: Cross multiply
    3,057.16x = 4,585.74 × 865.90
  4. Step 4: Simplify right side
    3,057.16x = 3,970,792.27
  5. Step 5: Solve for x
    x = 3,970,792.27/3,057.16
  6. Step 6: Final answer
    x = 1,298.85

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