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Finding the Fourth Proportional to 2,882.98, 4,324.05 and 803.14

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Solution

The fourth proportional to 2,882.98, 4,324.05 and 803.14 is: 1,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.98 : 4,324.05 = 803.14 : x
  2. Step 2: Convert to fraction form
    2,882.98/4,324.05 = 803.14/x
  3. Step 3: Cross multiply
    2,882.98x = 4,324.05 × 803.14
  4. Step 4: Simplify right side
    2,882.98x = 3,472,817.52
  5. Step 5: Solve for x
    x = 3,472,817.52/2,882.98
  6. Step 6: Final answer
    x = 1,204.59

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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.