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Finding the Fourth Proportional to 2,294.74, 3,443.28 and 1,124.72

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Solution

The fourth proportional to 2,294.74, 3,443.28 and 1,124.72 is: 1,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.74 : 3,443.28 = 1,124.72 : x
  2. Step 2: Convert to fraction form
    2,294.74/3,443.28 = 1,124.72/x
  3. Step 3: Cross multiply
    2,294.74x = 3,443.28 × 1,124.72
  4. Step 4: Simplify right side
    2,294.74x = 3,872,726.85
  5. Step 5: Solve for x
    x = 3,872,726.85/2,294.74
  6. Step 6: Final answer
    x = 1,687.66

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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.