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Finding the Fourth Proportional to 2,471.30, 3,705.75 and 1,154.76

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Solution

The fourth proportional to 2,471.30, 3,705.75 and 1,154.76 is: 1,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.30 : 3,705.75 = 1,154.76 : x
  2. Step 2: Convert to fraction form
    2,471.30/3,705.75 = 1,154.76/x
  3. Step 3: Cross multiply
    2,471.30x = 3,705.75 × 1,154.76
  4. Step 4: Simplify right side
    2,471.30x = 4,279,251.87
  5. Step 5: Solve for x
    x = 4,279,251.87/2,471.30
  6. Step 6: Final answer
    x = 1,731.58

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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.