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Finding the Fourth Proportional to 2,203.40, 3,306.90 and 2,131.40

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Solution

The fourth proportional to 2,203.40, 3,306.90 and 2,131.40 is: 3,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.40 : 3,306.90 = 2,131.40 : x
  2. Step 2: Convert to fraction form
    2,203.40/3,306.90 = 2,131.40/x
  3. Step 3: Cross multiply
    2,203.40x = 3,306.90 × 2,131.40
  4. Step 4: Simplify right side
    2,203.40x = 7,048,326.66
  5. Step 5: Solve for x
    x = 7,048,326.66/2,203.40
  6. Step 6: Final answer
    x = 3,198.84

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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.