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Finding the Fourth Proportional to 2,471.65, 3,708.38 and 1,156.01

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Solution

The fourth proportional to 2,471.65, 3,708.38 and 1,156.01 is: 1,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.65 : 3,708.38 = 1,156.01 : x
  2. Step 2: Convert to fraction form
    2,471.65/3,708.38 = 1,156.01/x
  3. Step 3: Cross multiply
    2,471.65x = 3,708.38 × 1,156.01
  4. Step 4: Simplify right side
    2,471.65x = 4,286,908.71
  5. Step 5: Solve for x
    x = 4,286,908.71/2,471.65
  6. Step 6: Final answer
    x = 1,734.43

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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.