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Finding the Fourth Proportional to 2,182.62, 3,275.31 and 795.82

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Solution

The fourth proportional to 2,182.62, 3,275.31 and 795.82 is: 1,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.62 : 3,275.31 = 795.82 : x
  2. Step 2: Convert to fraction form
    2,182.62/3,275.31 = 795.82/x
  3. Step 3: Cross multiply
    2,182.62x = 3,275.31 × 795.82
  4. Step 4: Simplify right side
    2,182.62x = 2,606,557.20
  5. Step 5: Solve for x
    x = 2,606,557.20/2,182.62
  6. Step 6: Final answer
    x = 1,194.23

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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.