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Finding the Fourth Proportional to 2,449.52, 3,379.24 and 1,454.24

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Solution

The fourth proportional to 2,449.52, 3,379.24 and 1,454.24 is: 2,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.52 : 3,379.24 = 1,454.24 : x
  2. Step 2: Convert to fraction form
    2,449.52/3,379.24 = 1,454.24/x
  3. Step 3: Cross multiply
    2,449.52x = 3,379.24 × 1,454.24
  4. Step 4: Simplify right side
    2,449.52x = 4,914,225.98
  5. Step 5: Solve for x
    x = 4,914,225.98/2,449.52
  6. Step 6: Final answer
    x = 2,006.20

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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.