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Finding the Fourth Proportional to 3,107.31, 4,659.52 and 1,158.99

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Solution

The fourth proportional to 3,107.31, 4,659.52 and 1,158.99 is: 1,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.31 : 4,659.52 = 1,158.99 : x
  2. Step 2: Convert to fraction form
    3,107.31/4,659.52 = 1,158.99/x
  3. Step 3: Cross multiply
    3,107.31x = 4,659.52 × 1,158.99
  4. Step 4: Simplify right side
    3,107.31x = 5,400,337.08
  5. Step 5: Solve for x
    x = 5,400,337.08/3,107.31
  6. Step 6: Final answer
    x = 1,737.95

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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.