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Finding the Fourth Proportional to 1,595.62, 2,202.72 and 932.26

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Solution

The fourth proportional to 1,595.62, 2,202.72 and 932.26 is: 1,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.62 : 2,202.72 = 932.26 : x
  2. Step 2: Convert to fraction form
    1,595.62/2,202.72 = 932.26/x
  3. Step 3: Cross multiply
    1,595.62x = 2,202.72 × 932.26
  4. Step 4: Simplify right side
    1,595.62x = 2,053,507.75
  5. Step 5: Solve for x
    x = 2,053,507.75/1,595.62
  6. Step 6: Final answer
    x = 1,286.97

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