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Finding the Fourth Proportional to 1,609.38, 2,220.63 and 901.17

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Solution

The fourth proportional to 1,609.38, 2,220.63 and 901.17 is: 1,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.38 : 2,220.63 = 901.17 : x
  2. Step 2: Convert to fraction form
    1,609.38/2,220.63 = 901.17/x
  3. Step 3: Cross multiply
    1,609.38x = 2,220.63 × 901.17
  4. Step 4: Simplify right side
    1,609.38x = 2,001,165.14
  5. Step 5: Solve for x
    x = 2,001,165.14/1,609.38
  6. Step 6: Final answer
    x = 1,243.44

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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.