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Finding the Fourth Proportional to 3,290.80, 4,542.20 and 2,031.66

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Solution

The fourth proportional to 3,290.80, 4,542.20 and 2,031.66 is: 2,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.80 : 4,542.20 = 2,031.66 : x
  2. Step 2: Convert to fraction form
    3,290.80/4,542.20 = 2,031.66/x
  3. Step 3: Cross multiply
    3,290.80x = 4,542.20 × 2,031.66
  4. Step 4: Simplify right side
    3,290.80x = 9,228,206.05
  5. Step 5: Solve for x
    x = 9,228,206.05/3,290.80
  6. Step 6: Final answer
    x = 2,804.24

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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.