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Finding the Fourth Proportional to 3,059.54, 4,591.24 and 1,187.02

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Solution

The fourth proportional to 3,059.54, 4,591.24 and 1,187.02 is: 1,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.54 : 4,591.24 = 1,187.02 : x
  2. Step 2: Convert to fraction form
    3,059.54/4,591.24 = 1,187.02/x
  3. Step 3: Cross multiply
    3,059.54x = 4,591.24 × 1,187.02
  4. Step 4: Simplify right side
    3,059.54x = 5,449,893.70
  5. Step 5: Solve for x
    x = 5,449,893.70/3,059.54
  6. Step 6: Final answer
    x = 1,781.28

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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.