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Finding the Fourth Proportional to 2,355.96, 3,251.28 and 1,471.80

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Solution

The fourth proportional to 2,355.96, 3,251.28 and 1,471.80 is: 2,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.96 : 3,251.28 = 1,471.80 : x
  2. Step 2: Convert to fraction form
    2,355.96/3,251.28 = 1,471.80/x
  3. Step 3: Cross multiply
    2,355.96x = 3,251.28 × 1,471.80
  4. Step 4: Simplify right side
    2,355.96x = 4,785,233.90
  5. Step 5: Solve for x
    x = 4,785,233.90/2,355.96
  6. Step 6: Final answer
    x = 2,031.12

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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.