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Finding the Fourth Proportional to 2,882.76, 4,320.06 and 1,422.96

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Solution

The fourth proportional to 2,882.76, 4,320.06 and 1,422.96 is: 2,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.76 : 4,320.06 = 1,422.96 : x
  2. Step 2: Convert to fraction form
    2,882.76/4,320.06 = 1,422.96/x
  3. Step 3: Cross multiply
    2,882.76x = 4,320.06 × 1,422.96
  4. Step 4: Simplify right side
    2,882.76x = 6,147,272.58
  5. Step 5: Solve for x
    x = 6,147,272.58/2,882.76
  6. Step 6: Final answer
    x = 2,132.43

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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.