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Finding the Fourth Proportional to 1,591.12, 2,385.60 and 616.08

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Solution

The fourth proportional to 1,591.12, 2,385.60 and 616.08 is: 923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.12 : 2,385.60 = 616.08 : x
  2. Step 2: Convert to fraction form
    1,591.12/2,385.60 = 616.08/x
  3. Step 3: Cross multiply
    1,591.12x = 2,385.60 × 616.08
  4. Step 4: Simplify right side
    1,591.12x = 1,469,720.45
  5. Step 5: Solve for x
    x = 1,469,720.45/1,591.12
  6. Step 6: Final answer
    x = 923.70

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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.