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Finding the Fourth Proportional to 3,200.82, 4,417.20 and 1,942.08

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Solution

The fourth proportional to 3,200.82, 4,417.20 and 1,942.08 is: 2,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.82 : 4,417.20 = 1,942.08 : x
  2. Step 2: Convert to fraction form
    3,200.82/4,417.20 = 1,942.08/x
  3. Step 3: Cross multiply
    3,200.82x = 4,417.20 × 1,942.08
  4. Step 4: Simplify right side
    3,200.82x = 8,578,555.78
  5. Step 5: Solve for x
    x = 8,578,555.78/3,200.82
  6. Step 6: Final answer
    x = 2,680.11

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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.