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Finding the Fourth Proportional to 2,801.52, 4,202.34 and 1,158.18

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Solution

The fourth proportional to 2,801.52, 4,202.34 and 1,158.18 is: 1,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.52 : 4,202.34 = 1,158.18 : x
  2. Step 2: Convert to fraction form
    2,801.52/4,202.34 = 1,158.18/x
  3. Step 3: Cross multiply
    2,801.52x = 4,202.34 × 1,158.18
  4. Step 4: Simplify right side
    2,801.52x = 4,867,066.14
  5. Step 5: Solve for x
    x = 4,867,066.14/2,801.52
  6. Step 6: Final answer
    x = 1,737.29

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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.