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Finding the Fourth Proportional to 2,277.70, 3,414.84 and 1,044.46

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Solution

The fourth proportional to 2,277.70, 3,414.84 and 1,044.46 is: 1,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.70 : 3,414.84 = 1,044.46 : x
  2. Step 2: Convert to fraction form
    2,277.70/3,414.84 = 1,044.46/x
  3. Step 3: Cross multiply
    2,277.70x = 3,414.84 × 1,044.46
  4. Step 4: Simplify right side
    2,277.70x = 3,566,663.79
  5. Step 5: Solve for x
    x = 3,566,663.79/2,277.70
  6. Step 6: Final answer
    x = 1,565.91

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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.