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Finding the Fourth Proportional to 2,792.57, 4,189.88 and 1,149.24

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Solution

The fourth proportional to 2,792.57, 4,189.88 and 1,149.24 is: 1,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.57 : 4,189.88 = 1,149.24 : x
  2. Step 2: Convert to fraction form
    2,792.57/4,189.88 = 1,149.24/x
  3. Step 3: Cross multiply
    2,792.57x = 4,189.88 × 1,149.24
  4. Step 4: Simplify right side
    2,792.57x = 4,815,171.95
  5. Step 5: Solve for x
    x = 4,815,171.95/2,792.57
  6. Step 6: Final answer
    x = 1,724.28

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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.