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Finding the Fourth Proportional to 2,932.70, 4,399.18 and 741.44

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Solution

The fourth proportional to 2,932.70, 4,399.18 and 741.44 is: 1,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.70 : 4,399.18 = 741.44 : x
  2. Step 2: Convert to fraction form
    2,932.70/4,399.18 = 741.44/x
  3. Step 3: Cross multiply
    2,932.70x = 4,399.18 × 741.44
  4. Step 4: Simplify right side
    2,932.70x = 3,261,737.16
  5. Step 5: Solve for x
    x = 3,261,737.16/2,932.70
  6. Step 6: Final answer
    x = 1,112.20

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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.