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Finding the Fourth Proportional to 2,732.48, 4,099.33 and 784.54

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Solution

The fourth proportional to 2,732.48, 4,099.33 and 784.54 is: 1,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.48 : 4,099.33 = 784.54 : x
  2. Step 2: Convert to fraction form
    2,732.48/4,099.33 = 784.54/x
  3. Step 3: Cross multiply
    2,732.48x = 4,099.33 × 784.54
  4. Step 4: Simplify right side
    2,732.48x = 3,216,067.86
  5. Step 5: Solve for x
    x = 3,216,067.86/2,732.48
  6. Step 6: Final answer
    x = 1,176.98

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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.