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Finding the Fourth Proportional to 2,621.46, 3,932.19 and 772.55

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Solution

The fourth proportional to 2,621.46, 3,932.19 and 772.55 is: 1,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.46 : 3,932.19 = 772.55 : x
  2. Step 2: Convert to fraction form
    2,621.46/3,932.19 = 772.55/x
  3. Step 3: Cross multiply
    2,621.46x = 3,932.19 × 772.55
  4. Step 4: Simplify right side
    2,621.46x = 3,037,793.72
  5. Step 5: Solve for x
    x = 3,037,793.72/2,621.46
  6. Step 6: Final answer
    x = 1,158.82

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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.