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Finding the Fourth Proportional to 2,769.83, 3,822.71 and 1,747.87

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Solution

The fourth proportional to 2,769.83, 3,822.71 and 1,747.87 is: 2,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.83 : 3,822.71 = 1,747.87 : x
  2. Step 2: Convert to fraction form
    2,769.83/3,822.71 = 1,747.87/x
  3. Step 3: Cross multiply
    2,769.83x = 3,822.71 × 1,747.87
  4. Step 4: Simplify right side
    2,769.83x = 6,681,600.13
  5. Step 5: Solve for x
    x = 6,681,600.13/2,769.83
  6. Step 6: Final answer
    x = 2,412.28

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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.