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Finding the Fourth Proportional to 3,290.68, 4,932.42 and 1,441.12

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Solution

The fourth proportional to 3,290.68, 4,932.42 and 1,441.12 is: 2,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.68 : 4,932.42 = 1,441.12 : x
  2. Step 2: Convert to fraction form
    3,290.68/4,932.42 = 1,441.12/x
  3. Step 3: Cross multiply
    3,290.68x = 4,932.42 × 1,441.12
  4. Step 4: Simplify right side
    3,290.68x = 7,108,209.11
  5. Step 5: Solve for x
    x = 7,108,209.11/3,290.68
  6. Step 6: Final answer
    x = 2,160.10

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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.