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Finding the Fourth Proportional to 2,878.92, 4,318.34 and 1,147.55

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Solution

The fourth proportional to 2,878.92, 4,318.34 and 1,147.55 is: 1,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.92 : 4,318.34 = 1,147.55 : x
  2. Step 2: Convert to fraction form
    2,878.92/4,318.34 = 1,147.55/x
  3. Step 3: Cross multiply
    2,878.92x = 4,318.34 × 1,147.55
  4. Step 4: Simplify right side
    2,878.92x = 4,955,483.74
  5. Step 5: Solve for x
    x = 4,955,483.74/2,878.92
  6. Step 6: Final answer
    x = 1,721.30

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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.