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Finding the Fourth Proportional to 2,182.09, 3,272.82 and 795.78

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Solution

The fourth proportional to 2,182.09, 3,272.82 and 795.78 is: 1,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.09 : 3,272.82 = 795.78 : x
  2. Step 2: Convert to fraction form
    2,182.09/3,272.82 = 795.78/x
  3. Step 3: Cross multiply
    2,182.09x = 3,272.82 × 795.78
  4. Step 4: Simplify right side
    2,182.09x = 2,604,444.70
  5. Step 5: Solve for x
    x = 2,604,444.70/2,182.09
  6. Step 6: Final answer
    x = 1,193.56

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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.