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Finding the Fourth Proportional to 2,819.69, 3,891.89 and 1,877.06

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Solution

The fourth proportional to 2,819.69, 3,891.89 and 1,877.06 is: 2,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.69 : 3,891.89 = 1,877.06 : x
  2. Step 2: Convert to fraction form
    2,819.69/3,891.89 = 1,877.06/x
  3. Step 3: Cross multiply
    2,819.69x = 3,891.89 × 1,877.06
  4. Step 4: Simplify right side
    2,819.69x = 7,305,311.04
  5. Step 5: Solve for x
    x = 7,305,311.04/2,819.69
  6. Step 6: Final answer
    x = 2,590.82

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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.