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Finding the Fourth Proportional to 2,471.47, 3,410.72 and 1,632.91

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Solution

The fourth proportional to 2,471.47, 3,410.72 and 1,632.91 is: 2,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.47 : 3,410.72 = 1,632.91 : x
  2. Step 2: Convert to fraction form
    2,471.47/3,410.72 = 1,632.91/x
  3. Step 3: Cross multiply
    2,471.47x = 3,410.72 × 1,632.91
  4. Step 4: Simplify right side
    2,471.47x = 5,569,398.80
  5. Step 5: Solve for x
    x = 5,569,398.80/2,471.47
  6. Step 6: Final answer
    x = 2,253.48

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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.