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Finding the Fourth Proportional to 2,879.82, 4,320.42 and 932.03

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Solution

The fourth proportional to 2,879.82, 4,320.42 and 932.03 is: 1,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.82 : 4,320.42 = 932.03 : x
  2. Step 2: Convert to fraction form
    2,879.82/4,320.42 = 932.03/x
  3. Step 3: Cross multiply
    2,879.82x = 4,320.42 × 932.03
  4. Step 4: Simplify right side
    2,879.82x = 4,026,751.32
  5. Step 5: Solve for x
    x = 4,026,751.32/2,879.82
  6. Step 6: Final answer
    x = 1,398.26

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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.