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Finding the Fourth Proportional to 2,861.62, 4,292.62 and 1,107.46

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Solution

The fourth proportional to 2,861.62, 4,292.62 and 1,107.46 is: 1,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.62 : 4,292.62 = 1,107.46 : x
  2. Step 2: Convert to fraction form
    2,861.62/4,292.62 = 1,107.46/x
  3. Step 3: Cross multiply
    2,861.62x = 4,292.62 × 1,107.46
  4. Step 4: Simplify right side
    2,861.62x = 4,753,904.95
  5. Step 5: Solve for x
    x = 4,753,904.95/2,861.62
  6. Step 6: Final answer
    x = 1,661.26

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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.