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Finding the Fourth Proportional to 3,292.18, 4,932.82 and 1,990.96

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Solution

The fourth proportional to 3,292.18, 4,932.82 and 1,990.96 is: 2,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.18 : 4,932.82 = 1,990.96 : x
  2. Step 2: Convert to fraction form
    3,292.18/4,932.82 = 1,990.96/x
  3. Step 3: Cross multiply
    3,292.18x = 4,932.82 × 1,990.96
  4. Step 4: Simplify right side
    3,292.18x = 9,821,047.31
  5. Step 5: Solve for x
    x = 9,821,047.31/3,292.18
  6. Step 6: Final answer
    x = 2,983.14

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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.