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Finding the Fourth Proportional to 2,856.75, 4,287.15 and 1,125.78

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Solution

The fourth proportional to 2,856.75, 4,287.15 and 1,125.78 is: 1,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.75 : 4,287.15 = 1,125.78 : x
  2. Step 2: Convert to fraction form
    2,856.75/4,287.15 = 1,125.78/x
  3. Step 3: Cross multiply
    2,856.75x = 4,287.15 × 1,125.78
  4. Step 4: Simplify right side
    2,856.75x = 4,826,387.73
  5. Step 5: Solve for x
    x = 4,826,387.73/2,856.75
  6. Step 6: Final answer
    x = 1,689.47

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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.