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Finding the Fourth Proportional to 2,772.42, 4,158.61 and 923.53

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Solution

The fourth proportional to 2,772.42, 4,158.61 and 923.53 is: 1,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.42 : 4,158.61 = 923.53 : x
  2. Step 2: Convert to fraction form
    2,772.42/4,158.61 = 923.53/x
  3. Step 3: Cross multiply
    2,772.42x = 4,158.61 × 923.53
  4. Step 4: Simplify right side
    2,772.42x = 3,840,601.09
  5. Step 5: Solve for x
    x = 3,840,601.09/2,772.42
  6. Step 6: Final answer
    x = 1,385.29

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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.