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Finding the Fourth Proportional to 3,209.03, 4,427.98 and 1,949.42

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Solution

The fourth proportional to 3,209.03, 4,427.98 and 1,949.42 is: 2,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.03 : 4,427.98 = 1,949.42 : x
  2. Step 2: Convert to fraction form
    3,209.03/4,427.98 = 1,949.42/x
  3. Step 3: Cross multiply
    3,209.03x = 4,427.98 × 1,949.42
  4. Step 4: Simplify right side
    3,209.03x = 8,631,965.76
  5. Step 5: Solve for x
    x = 8,631,965.76/3,209.03
  6. Step 6: Final answer
    x = 2,689.90

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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.