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Finding the Fourth Proportional to 2,804.39, 3,869.52 and 1,755.84

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Solution

The fourth proportional to 2,804.39, 3,869.52 and 1,755.84 is: 2,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.39 : 3,869.52 = 1,755.84 : x
  2. Step 2: Convert to fraction form
    2,804.39/3,869.52 = 1,755.84/x
  3. Step 3: Cross multiply
    2,804.39x = 3,869.52 × 1,755.84
  4. Step 4: Simplify right side
    2,804.39x = 6,794,265.92
  5. Step 5: Solve for x
    x = 6,794,265.92/2,804.39
  6. Step 6: Final answer
    x = 2,422.73

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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.