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Finding the Fourth Proportional to 2,252.91, 3,380.04 and 1,158.06

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Solution

The fourth proportional to 2,252.91, 3,380.04 and 1,158.06 is: 1,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.91 : 3,380.04 = 1,158.06 : x
  2. Step 2: Convert to fraction form
    2,252.91/3,380.04 = 1,158.06/x
  3. Step 3: Cross multiply
    2,252.91x = 3,380.04 × 1,158.06
  4. Step 4: Simplify right side
    2,252.91x = 3,914,289.12
  5. Step 5: Solve for x
    x = 3,914,289.12/2,252.91
  6. Step 6: Final answer
    x = 1,737.44

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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.