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Finding the Fourth Proportional to 3,170.92, 4,758.42 and 1,711.08

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Solution

The fourth proportional to 3,170.92, 4,758.42 and 1,711.08 is: 2,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.92 : 4,758.42 = 1,711.08 : x
  2. Step 2: Convert to fraction form
    3,170.92/4,758.42 = 1,711.08/x
  3. Step 3: Cross multiply
    3,170.92x = 4,758.42 × 1,711.08
  4. Step 4: Simplify right side
    3,170.92x = 8,142,037.29
  5. Step 5: Solve for x
    x = 8,142,037.29/3,170.92
  6. Step 6: Final answer
    x = 2,567.72

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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.