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Finding the Fourth Proportional to 2,203.98, 3,306.08 and 1,229.34

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Solution

The fourth proportional to 2,203.98, 3,306.08 and 1,229.34 is: 1,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.98 : 3,306.08 = 1,229.34 : x
  2. Step 2: Convert to fraction form
    2,203.98/3,306.08 = 1,229.34/x
  3. Step 3: Cross multiply
    2,203.98x = 3,306.08 × 1,229.34
  4. Step 4: Simplify right side
    2,203.98x = 4,064,290.24
  5. Step 5: Solve for x
    x = 4,064,290.24/2,203.98
  6. Step 6: Final answer
    x = 1,844.07

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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.