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Finding the Fourth Proportional to 2,471.64, 3,708.06 and 1,010.40

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Solution

The fourth proportional to 2,471.64, 3,708.06 and 1,010.40 is: 1,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.64 : 3,708.06 = 1,010.40 : x
  2. Step 2: Convert to fraction form
    2,471.64/3,708.06 = 1,010.40/x
  3. Step 3: Cross multiply
    2,471.64x = 3,708.06 × 1,010.40
  4. Step 4: Simplify right side
    2,471.64x = 3,746,623.82
  5. Step 5: Solve for x
    x = 3,746,623.82/2,471.64
  6. Step 6: Final answer
    x = 1,515.85

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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.