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Finding the Fourth Proportional to 2,732.20, 4,098.28 and 784.39

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Solution

The fourth proportional to 2,732.20, 4,098.28 and 784.39 is: 1,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.20 : 4,098.28 = 784.39 : x
  2. Step 2: Convert to fraction form
    2,732.20/4,098.28 = 784.39/x
  3. Step 3: Cross multiply
    2,732.20x = 4,098.28 × 784.39
  4. Step 4: Simplify right side
    2,732.20x = 3,214,649.85
  5. Step 5: Solve for x
    x = 3,214,649.85/2,732.20
  6. Step 6: Final answer
    x = 1,176.58

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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.