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Finding the Fourth Proportional to 2,293.74, 3,438.92 and 732.85

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Solution

The fourth proportional to 2,293.74, 3,438.92 and 732.85 is: 1,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.74 : 3,438.92 = 732.85 : x
  2. Step 2: Convert to fraction form
    2,293.74/3,438.92 = 732.85/x
  3. Step 3: Cross multiply
    2,293.74x = 3,438.92 × 732.85
  4. Step 4: Simplify right side
    2,293.74x = 2,520,205.76
  5. Step 5: Solve for x
    x = 2,520,205.76/2,293.74
  6. Step 6: Final answer
    x = 1,098.73

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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.