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Finding the Fourth Proportional to 2,277.20, 3,414.80 and 1,044.20

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Solution

The fourth proportional to 2,277.20, 3,414.80 and 1,044.20 is: 1,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.20 : 3,414.80 = 1,044.20 : x
  2. Step 2: Convert to fraction form
    2,277.20/3,414.80 = 1,044.20/x
  3. Step 3: Cross multiply
    2,277.20x = 3,414.80 × 1,044.20
  4. Step 4: Simplify right side
    2,277.20x = 3,565,734.16
  5. Step 5: Solve for x
    x = 3,565,734.16/2,277.20
  6. Step 6: Final answer
    x = 1,565.84

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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.