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Finding the Fourth Proportional to 3,115.57, 4,671.96 and 923.53

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Solution

The fourth proportional to 3,115.57, 4,671.96 and 923.53 is: 1,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.57 : 4,671.96 = 923.53 : x
  2. Step 2: Convert to fraction form
    3,115.57/4,671.96 = 923.53/x
  3. Step 3: Cross multiply
    3,115.57x = 4,671.96 × 923.53
  4. Step 4: Simplify right side
    3,115.57x = 4,314,695.22
  5. Step 5: Solve for x
    x = 4,314,695.22/3,115.57
  6. Step 6: Final answer
    x = 1,384.88

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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.