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Finding the Fourth Proportional to 2,282.39, 3,424.12 and 722.55

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Solution

The fourth proportional to 2,282.39, 3,424.12 and 722.55 is: 1,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.39 : 3,424.12 = 722.55 : x
  2. Step 2: Convert to fraction form
    2,282.39/3,424.12 = 722.55/x
  3. Step 3: Cross multiply
    2,282.39x = 3,424.12 × 722.55
  4. Step 4: Simplify right side
    2,282.39x = 2,474,097.91
  5. Step 5: Solve for x
    x = 2,474,097.91/2,282.39
  6. Step 6: Final answer
    x = 1,083.99

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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.