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Finding the Fourth Proportional to 2,282.75, 3,424.14 and 722.72

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Solution

The fourth proportional to 2,282.75, 3,424.14 and 722.72 is: 1,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.75 : 3,424.14 = 722.72 : x
  2. Step 2: Convert to fraction form
    2,282.75/3,424.14 = 722.72/x
  3. Step 3: Cross multiply
    2,282.75x = 3,424.14 × 722.72
  4. Step 4: Simplify right side
    2,282.75x = 2,474,694.46
  5. Step 5: Solve for x
    x = 2,474,694.46/2,282.75
  6. Step 6: Final answer
    x = 1,084.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.