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Finding the Fourth Proportional to 1,595.90, 2,202.39 and 932.78

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Solution

The fourth proportional to 1,595.90, 2,202.39 and 932.78 is: 1,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.90 : 2,202.39 = 932.78 : x
  2. Step 2: Convert to fraction form
    1,595.90/2,202.39 = 932.78/x
  3. Step 3: Cross multiply
    1,595.90x = 2,202.39 × 932.78
  4. Step 4: Simplify right side
    1,595.90x = 2,054,350.85
  5. Step 5: Solve for x
    x = 2,054,350.85/1,595.90
  6. Step 6: Final answer
    x = 1,287.27

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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.