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Finding the Fourth Proportional to 2,878.43, 4,318.05 and 1,029.16

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Solution

The fourth proportional to 2,878.43, 4,318.05 and 1,029.16 is: 1,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.43 : 4,318.05 = 1,029.16 : x
  2. Step 2: Convert to fraction form
    2,878.43/4,318.05 = 1,029.16/x
  3. Step 3: Cross multiply
    2,878.43x = 4,318.05 × 1,029.16
  4. Step 4: Simplify right side
    2,878.43x = 4,443,942.75
  5. Step 5: Solve for x
    x = 4,443,942.75/2,878.43
  6. Step 6: Final answer
    x = 1,543.88

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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.