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Finding the Fourth Proportional to 2,314.18, 3,471.45 and 754.15

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Solution

The fourth proportional to 2,314.18, 3,471.45 and 754.15 is: 1,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.18 : 3,471.45 = 754.15 : x
  2. Step 2: Convert to fraction form
    2,314.18/3,471.45 = 754.15/x
  3. Step 3: Cross multiply
    2,314.18x = 3,471.45 × 754.15
  4. Step 4: Simplify right side
    2,314.18x = 2,617,972.89
  5. Step 5: Solve for x
    x = 2,617,972.89/2,314.18
  6. Step 6: Final answer
    x = 1,131.28

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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.