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Finding the Fourth Proportional to 1,397.82, 2,094.92 and 575.14

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Solution

The fourth proportional to 1,397.82, 2,094.92 and 575.14 is: 861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.82 : 2,094.92 = 575.14 : x
  2. Step 2: Convert to fraction form
    1,397.82/2,094.92 = 575.14/x
  3. Step 3: Cross multiply
    1,397.82x = 2,094.92 × 575.14
  4. Step 4: Simplify right side
    1,397.82x = 1,204,872.29
  5. Step 5: Solve for x
    x = 1,204,872.29/1,397.82
  6. Step 6: Final answer
    x = 861.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.