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Finding the Fourth Proportional to 2,817.44, 4,226.12 and 969.83

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Solution

The fourth proportional to 2,817.44, 4,226.12 and 969.83 is: 1,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.44 : 4,226.12 = 969.83 : x
  2. Step 2: Convert to fraction form
    2,817.44/4,226.12 = 969.83/x
  3. Step 3: Cross multiply
    2,817.44x = 4,226.12 × 969.83
  4. Step 4: Simplify right side
    2,817.44x = 4,098,617.96
  5. Step 5: Solve for x
    x = 4,098,617.96/2,817.44
  6. Step 6: Final answer
    x = 1,454.73

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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.