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Finding the Fourth Proportional to 2,269.97, 3,129.66 and 1,522.74

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Solution

The fourth proportional to 2,269.97, 3,129.66 and 1,522.74 is: 2,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.97 : 3,129.66 = 1,522.74 : x
  2. Step 2: Convert to fraction form
    2,269.97/3,129.66 = 1,522.74/x
  3. Step 3: Cross multiply
    2,269.97x = 3,129.66 × 1,522.74
  4. Step 4: Simplify right side
    2,269.97x = 4,765,658.47
  5. Step 5: Solve for x
    x = 4,765,658.47/2,269.97
  6. Step 6: Final answer
    x = 2,099.44

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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.