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Finding the Fourth Proportional to 2,871.52, 4,307.97 and 923.66

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Solution

The fourth proportional to 2,871.52, 4,307.97 and 923.66 is: 1,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.52 : 4,307.97 = 923.66 : x
  2. Step 2: Convert to fraction form
    2,871.52/4,307.97 = 923.66/x
  3. Step 3: Cross multiply
    2,871.52x = 4,307.97 × 923.66
  4. Step 4: Simplify right side
    2,871.52x = 3,979,099.57
  5. Step 5: Solve for x
    x = 3,979,099.57/2,871.52
  6. Step 6: Final answer
    x = 1,385.71

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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.