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Finding the Fourth Proportional to 2,471.96, 3,708.44 and 1,011.23

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Solution

The fourth proportional to 2,471.96, 3,708.44 and 1,011.23 is: 1,517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.96 : 3,708.44 = 1,011.23 : x
  2. Step 2: Convert to fraction form
    2,471.96/3,708.44 = 1,011.23/x
  3. Step 3: Cross multiply
    2,471.96x = 3,708.44 × 1,011.23
  4. Step 4: Simplify right side
    2,471.96x = 3,750,062.18
  5. Step 5: Solve for x
    x = 3,750,062.18/2,471.96
  6. Step 6: Final answer
    x = 1,517.04

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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.