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Finding the Fourth Proportional to 2,282.61, 3,424.28 and 743.25

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Solution

The fourth proportional to 2,282.61, 3,424.28 and 743.25 is: 1,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.61 : 3,424.28 = 743.25 : x
  2. Step 2: Convert to fraction form
    2,282.61/3,424.28 = 743.25/x
  3. Step 3: Cross multiply
    2,282.61x = 3,424.28 × 743.25
  4. Step 4: Simplify right side
    2,282.61x = 2,545,092.39
  5. Step 5: Solve for x
    x = 2,545,092.39/2,282.61
  6. Step 6: Final answer
    x = 1,114.99

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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.