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Finding the Fourth Proportional to 2,882.74, 4,323.03 and 1,422.58

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Solution

The fourth proportional to 2,882.74, 4,323.03 and 1,422.58 is: 2,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.74 : 4,323.03 = 1,422.58 : x
  2. Step 2: Convert to fraction form
    2,882.74/4,323.03 = 1,422.58/x
  3. Step 3: Cross multiply
    2,882.74x = 4,323.03 × 1,422.58
  4. Step 4: Simplify right side
    2,882.74x = 6,149,856.02
  5. Step 5: Solve for x
    x = 6,149,856.02/2,882.74
  6. Step 6: Final answer
    x = 2,133.34

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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.