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Finding the Fourth Proportional to 2,249.90, 3,374.34 and 862.73

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Solution

The fourth proportional to 2,249.90, 3,374.34 and 862.73 is: 1,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.90 : 3,374.34 = 862.73 : x
  2. Step 2: Convert to fraction form
    2,249.90/3,374.34 = 862.73/x
  3. Step 3: Cross multiply
    2,249.90x = 3,374.34 × 862.73
  4. Step 4: Simplify right side
    2,249.90x = 2,911,144.35
  5. Step 5: Solve for x
    x = 2,911,144.35/2,249.90
  6. Step 6: Final answer
    x = 1,293.90

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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.