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Finding the Fourth Proportional to 2,166.38, 3,247.26 and 934.38

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Solution

The fourth proportional to 2,166.38, 3,247.26 and 934.38 is: 1,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.38 : 3,247.26 = 934.38 : x
  2. Step 2: Convert to fraction form
    2,166.38/3,247.26 = 934.38/x
  3. Step 3: Cross multiply
    2,166.38x = 3,247.26 × 934.38
  4. Step 4: Simplify right side
    2,166.38x = 3,034,174.80
  5. Step 5: Solve for x
    x = 3,034,174.80/2,166.38
  6. Step 6: Final answer
    x = 1,400.57

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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.