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Finding the Fourth Proportional to 2,422.74, 3,631.92 and 962.76

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Solution

The fourth proportional to 2,422.74, 3,631.92 and 962.76 is: 1,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.74 : 3,631.92 = 962.76 : x
  2. Step 2: Convert to fraction form
    2,422.74/3,631.92 = 962.76/x
  3. Step 3: Cross multiply
    2,422.74x = 3,631.92 × 962.76
  4. Step 4: Simplify right side
    2,422.74x = 3,496,667.30
  5. Step 5: Solve for x
    x = 3,496,667.30/2,422.74
  6. Step 6: Final answer
    x = 1,443.27

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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.