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Finding the Fourth Proportional to 1,949.66, 2,691.30 and 1,319.88

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Solution

The fourth proportional to 1,949.66, 2,691.30 and 1,319.88 is: 1,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.66 : 2,691.30 = 1,319.88 : x
  2. Step 2: Convert to fraction form
    1,949.66/2,691.30 = 1,319.88/x
  3. Step 3: Cross multiply
    1,949.66x = 2,691.30 × 1,319.88
  4. Step 4: Simplify right side
    1,949.66x = 3,552,193.04
  5. Step 5: Solve for x
    x = 3,552,193.04/1,949.66
  6. Step 6: Final answer
    x = 1,821.96

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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.