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Finding the Fourth Proportional to 3,167.38, 4,751.10 and 1,523.62

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Solution

The fourth proportional to 3,167.38, 4,751.10 and 1,523.62 is: 2,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.38 : 4,751.10 = 1,523.62 : x
  2. Step 2: Convert to fraction form
    3,167.38/4,751.10 = 1,523.62/x
  3. Step 3: Cross multiply
    3,167.38x = 4,751.10 × 1,523.62
  4. Step 4: Simplify right side
    3,167.38x = 7,238,870.98
  5. Step 5: Solve for x
    x = 7,238,870.98/3,167.38
  6. Step 6: Final answer
    x = 2,285.44

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1.5x scale

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.