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Finding the Fourth Proportional to 2,575.99, 3,865.20 and 932.86

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Solution

The fourth proportional to 2,575.99, 3,865.20 and 932.86 is: 1,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.99 : 3,865.20 = 932.86 : x
  2. Step 2: Convert to fraction form
    2,575.99/3,865.20 = 932.86/x
  3. Step 3: Cross multiply
    2,575.99x = 3,865.20 × 932.86
  4. Step 4: Simplify right side
    2,575.99x = 3,605,690.47
  5. Step 5: Solve for x
    x = 3,605,690.47/2,575.99
  6. Step 6: Final answer
    x = 1,399.73

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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.