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Finding the Fourth Proportional to 2,193.38, 3,290.42 and 732.88

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Solution

The fourth proportional to 2,193.38, 3,290.42 and 732.88 is: 1,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.38 : 3,290.42 = 732.88 : x
  2. Step 2: Convert to fraction form
    2,193.38/3,290.42 = 732.88/x
  3. Step 3: Cross multiply
    2,193.38x = 3,290.42 × 732.88
  4. Step 4: Simplify right side
    2,193.38x = 2,411,476.62
  5. Step 5: Solve for x
    x = 2,411,476.62/2,193.38
  6. Step 6: Final answer
    x = 1,099.44

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Similar ratio
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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.