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Finding the Fourth Proportional to 2,882.54, 4,327.22 and 2,426.00

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Solution

The fourth proportional to 2,882.54, 4,327.22 and 2,426.00 is: 3,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.54 : 4,327.22 = 2,426.00 : x
  2. Step 2: Convert to fraction form
    2,882.54/4,327.22 = 2,426.00/x
  3. Step 3: Cross multiply
    2,882.54x = 4,327.22 × 2,426.00
  4. Step 4: Simplify right side
    2,882.54x = 10,497,844.49
  5. Step 5: Solve for x
    x = 10,497,844.49/2,882.54
  6. Step 6: Final answer
    x = 3,641.88

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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.