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Finding the Fourth Proportional to 2,046.46, 3,069.68 and 950.22

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Solution

The fourth proportional to 2,046.46, 3,069.68 and 950.22 is: 1,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.46 : 3,069.68 = 950.22 : x
  2. Step 2: Convert to fraction form
    2,046.46/3,069.68 = 950.22/x
  3. Step 3: Cross multiply
    2,046.46x = 3,069.68 × 950.22
  4. Step 4: Simplify right side
    2,046.46x = 2,916,871.33
  5. Step 5: Solve for x
    x = 2,916,871.33/2,046.46
  6. Step 6: Final answer
    x = 1,425.33

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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.