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Finding the Fourth Proportional to 2,863.20, 4,277 and 2,849.76

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Solution

The fourth proportional to 2,863.20, 4,277 and 2,849.76 is: 4,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.20 : 4,277 = 2,849.76 : x
  2. Step 2: Convert to fraction form
    2,863.20/4,277 = 2,849.76/x
  3. Step 3: Cross multiply
    2,863.20x = 4,277 × 2,849.76
  4. Step 4: Simplify right side
    2,863.20x = 12,188,423.52
  5. Step 5: Solve for x
    x = 12,188,423.52/2,863.20
  6. Step 6: Final answer
    x = 4,256.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.