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Finding the Fourth Proportional to 2,878.28, 4,317.24 and 1,029.30

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Solution

The fourth proportional to 2,878.28, 4,317.24 and 1,029.30 is: 1,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.28 : 4,317.24 = 1,029.30 : x
  2. Step 2: Convert to fraction form
    2,878.28/4,317.24 = 1,029.30/x
  3. Step 3: Cross multiply
    2,878.28x = 4,317.24 × 1,029.30
  4. Step 4: Simplify right side
    2,878.28x = 4,443,735.13
  5. Step 5: Solve for x
    x = 4,443,735.13/2,878.28
  6. Step 6: Final answer
    x = 1,543.89

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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.