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Finding the Fourth Proportional to 2,287.80, 3,155.94 and 1,391.81

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Solution

The fourth proportional to 2,287.80, 3,155.94 and 1,391.81 is: 1,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.80 : 3,155.94 = 1,391.81 : x
  2. Step 2: Convert to fraction form
    2,287.80/3,155.94 = 1,391.81/x
  3. Step 3: Cross multiply
    2,287.80x = 3,155.94 × 1,391.81
  4. Step 4: Simplify right side
    2,287.80x = 4,392,476.04
  5. Step 5: Solve for x
    x = 4,392,476.04/2,287.80
  6. Step 6: Final answer
    x = 1,919.96

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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.