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Finding the Fourth Proportional to 2,713.18, 3,744.20 and 1,471.18

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Solution

The fourth proportional to 2,713.18, 3,744.20 and 1,471.18 is: 2,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.18 : 3,744.20 = 1,471.18 : x
  2. Step 2: Convert to fraction form
    2,713.18/3,744.20 = 1,471.18/x
  3. Step 3: Cross multiply
    2,713.18x = 3,744.20 × 1,471.18
  4. Step 4: Simplify right side
    2,713.18x = 5,508,384.80
  5. Step 5: Solve for x
    x = 5,508,384.80/2,713.18
  6. Step 6: Final answer
    x = 2,030.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.