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Finding the Fourth Proportional to 1,339.52, 2,009.44 and 819.28

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Solution

The fourth proportional to 1,339.52, 2,009.44 and 819.28 is: 1,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.52 : 2,009.44 = 819.28 : x
  2. Step 2: Convert to fraction form
    1,339.52/2,009.44 = 819.28/x
  3. Step 3: Cross multiply
    1,339.52x = 2,009.44 × 819.28
  4. Step 4: Simplify right side
    1,339.52x = 1,646,294.00
  5. Step 5: Solve for x
    x = 1,646,294.00/1,339.52
  6. Step 6: Final answer
    x = 1,229.02

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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.