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Finding the Fourth Proportional to 3,454.24, 4,766.82 and 1,882.24

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Solution

The fourth proportional to 3,454.24, 4,766.82 and 1,882.24 is: 2,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.24 : 4,766.82 = 1,882.24 : x
  2. Step 2: Convert to fraction form
    3,454.24/4,766.82 = 1,882.24/x
  3. Step 3: Cross multiply
    3,454.24x = 4,766.82 × 1,882.24
  4. Step 4: Simplify right side
    3,454.24x = 8,972,299.28
  5. Step 5: Solve for x
    x = 8,972,299.28/3,454.24
  6. Step 6: Final answer
    x = 2,597.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.