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Finding the Fourth Proportional to 2,826.69, 3,902.18 and 1,988.11

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Solution

The fourth proportional to 2,826.69, 3,902.18 and 1,988.11 is: 2,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.69 : 3,902.18 = 1,988.11 : x
  2. Step 2: Convert to fraction form
    2,826.69/3,902.18 = 1,988.11/x
  3. Step 3: Cross multiply
    2,826.69x = 3,902.18 × 1,988.11
  4. Step 4: Simplify right side
    2,826.69x = 7,757,963.08
  5. Step 5: Solve for x
    x = 7,757,963.08/2,826.69
  6. Step 6: Final answer
    x = 2,744.54

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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.