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Finding the Fourth Proportional to 1,949.87, 2,691.23 and 1,287.09

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Solution

The fourth proportional to 1,949.87, 2,691.23 and 1,287.09 is: 1,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.87 : 2,691.23 = 1,287.09 : x
  2. Step 2: Convert to fraction form
    1,949.87/2,691.23 = 1,287.09/x
  3. Step 3: Cross multiply
    1,949.87x = 2,691.23 × 1,287.09
  4. Step 4: Simplify right side
    1,949.87x = 3,463,848.79
  5. Step 5: Solve for x
    x = 3,463,848.79/1,949.87
  6. Step 6: Final answer
    x = 1,776.45

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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.