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Finding the Fourth Proportional to 2,472.53, 3,706.63 and 1,010.75

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Solution

The fourth proportional to 2,472.53, 3,706.63 and 1,010.75 is: 1,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.53 : 3,706.63 = 1,010.75 : x
  2. Step 2: Convert to fraction form
    2,472.53/3,706.63 = 1,010.75/x
  3. Step 3: Cross multiply
    2,472.53x = 3,706.63 × 1,010.75
  4. Step 4: Simplify right side
    2,472.53x = 3,746,476.27
  5. Step 5: Solve for x
    x = 3,746,476.27/2,472.53
  6. Step 6: Final answer
    x = 1,515.24

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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.