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Finding the Fourth Proportional to 1,609.83, 2,221.46 and 901.65

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Solution

The fourth proportional to 1,609.83, 2,221.46 and 901.65 is: 1,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.83 : 2,221.46 = 901.65 : x
  2. Step 2: Convert to fraction form
    1,609.83/2,221.46 = 901.65/x
  3. Step 3: Cross multiply
    1,609.83x = 2,221.46 × 901.65
  4. Step 4: Simplify right side
    1,609.83x = 2,002,974.90
  5. Step 5: Solve for x
    x = 2,002,974.90/1,609.83
  6. Step 6: Final answer
    x = 1,244.22

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.