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Finding the Fourth Proportional to 2,569.76, 3,540.13 and 2,444.69

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Solution

The fourth proportional to 2,569.76, 3,540.13 and 2,444.69 is: 3,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.76 : 3,540.13 = 2,444.69 : x
  2. Step 2: Convert to fraction form
    2,569.76/3,540.13 = 2,444.69/x
  3. Step 3: Cross multiply
    2,569.76x = 3,540.13 × 2,444.69
  4. Step 4: Simplify right side
    2,569.76x = 8,654,520.41
  5. Step 5: Solve for x
    x = 8,654,520.41/2,569.76
  6. Step 6: Final answer
    x = 3,367.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.