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Finding the Fourth Proportional to 2,022.98, 3,034.46 and 636.44

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Solution

The fourth proportional to 2,022.98, 3,034.46 and 636.44 is: 954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.98 : 3,034.46 = 636.44 : x
  2. Step 2: Convert to fraction form
    2,022.98/3,034.46 = 636.44/x
  3. Step 3: Cross multiply
    2,022.98x = 3,034.46 × 636.44
  4. Step 4: Simplify right side
    2,022.98x = 1,931,251.72
  5. Step 5: Solve for x
    x = 1,931,251.72/2,022.98
  6. Step 6: Final answer
    x = 954.66

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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.