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Finding the Fourth Proportional to 2,248.86, 3,372.21 and 767.55

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Solution

The fourth proportional to 2,248.86, 3,372.21 and 767.55 is: 1,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.86 : 3,372.21 = 767.55 : x
  2. Step 2: Convert to fraction form
    2,248.86/3,372.21 = 767.55/x
  3. Step 3: Cross multiply
    2,248.86x = 3,372.21 × 767.55
  4. Step 4: Simplify right side
    2,248.86x = 2,588,339.79
  5. Step 5: Solve for x
    x = 2,588,339.79/2,248.86
  6. Step 6: Final answer
    x = 1,150.96

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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.