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Finding the Fourth Proportional to 2,758.86, 3,804.98 and 2,227.59

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Solution

The fourth proportional to 2,758.86, 3,804.98 and 2,227.59 is: 3,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.86 : 3,804.98 = 2,227.59 : x
  2. Step 2: Convert to fraction form
    2,758.86/3,804.98 = 2,227.59/x
  3. Step 3: Cross multiply
    2,758.86x = 3,804.98 × 2,227.59
  4. Step 4: Simplify right side
    2,758.86x = 8,475,924.26
  5. Step 5: Solve for x
    x = 8,475,924.26/2,758.86
  6. Step 6: Final answer
    x = 3,072.26

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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.