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Finding the Fourth Proportional to 2,471.25, 3,706.80 and 1,010.41

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Solution

The fourth proportional to 2,471.25, 3,706.80 and 1,010.41 is: 1,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.25 : 3,706.80 = 1,010.41 : x
  2. Step 2: Convert to fraction form
    2,471.25/3,706.80 = 1,010.41/x
  3. Step 3: Cross multiply
    2,471.25x = 3,706.80 × 1,010.41
  4. Step 4: Simplify right side
    2,471.25x = 3,745,387.79
  5. Step 5: Solve for x
    x = 3,745,387.79/2,471.25
  6. Step 6: Final answer
    x = 1,515.58

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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.