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Finding the Fourth Proportional to 2,882.72, 4,324.12 and 830.72

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Solution

The fourth proportional to 2,882.72, 4,324.12 and 830.72 is: 1,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.72 : 4,324.12 = 830.72 : x
  2. Step 2: Convert to fraction form
    2,882.72/4,324.12 = 830.72/x
  3. Step 3: Cross multiply
    2,882.72x = 4,324.12 × 830.72
  4. Step 4: Simplify right side
    2,882.72x = 3,592,132.97
  5. Step 5: Solve for x
    x = 3,592,132.97/2,882.72
  6. Step 6: Final answer
    x = 1,246.09

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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.