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Finding the Fourth Proportional to 2,281.62, 3,146.82 and 1,722.18

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Solution

The fourth proportional to 2,281.62, 3,146.82 and 1,722.18 is: 2,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.62 : 3,146.82 = 1,722.18 : x
  2. Step 2: Convert to fraction form
    2,281.62/3,146.82 = 1,722.18/x
  3. Step 3: Cross multiply
    2,281.62x = 3,146.82 × 1,722.18
  4. Step 4: Simplify right side
    2,281.62x = 5,419,390.47
  5. Step 5: Solve for x
    x = 5,419,390.47/2,281.62
  6. Step 6: Final answer
    x = 2,375.24

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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.