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Finding the Fourth Proportional to 2,882.92, 4,325.50 and 1,152.76

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Solution

The fourth proportional to 2,882.92, 4,325.50 and 1,152.76 is: 1,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.92 : 4,325.50 = 1,152.76 : x
  2. Step 2: Convert to fraction form
    2,882.92/4,325.50 = 1,152.76/x
  3. Step 3: Cross multiply
    2,882.92x = 4,325.50 × 1,152.76
  4. Step 4: Simplify right side
    2,882.92x = 4,986,263.38
  5. Step 5: Solve for x
    x = 4,986,263.38/2,882.92
  6. Step 6: Final answer
    x = 1,729.59

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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.