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Finding the Fourth Proportional to 2,891.39, 3,983.33 and 2,005.65

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Solution

The fourth proportional to 2,891.39, 3,983.33 and 2,005.65 is: 2,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.39 : 3,983.33 = 2,005.65 : x
  2. Step 2: Convert to fraction form
    2,891.39/3,983.33 = 2,005.65/x
  3. Step 3: Cross multiply
    2,891.39x = 3,983.33 × 2,005.65
  4. Step 4: Simplify right side
    2,891.39x = 7,989,155.79
  5. Step 5: Solve for x
    x = 7,989,155.79/2,891.39
  6. Step 6: Final answer
    x = 2,763.09

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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.