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Finding the Fourth Proportional to 2,104.98, 2,912.12 and 1,843.75

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Solution

The fourth proportional to 2,104.98, 2,912.12 and 1,843.75 is: 2,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.98 : 2,912.12 = 1,843.75 : x
  2. Step 2: Convert to fraction form
    2,104.98/2,912.12 = 1,843.75/x
  3. Step 3: Cross multiply
    2,104.98x = 2,912.12 × 1,843.75
  4. Step 4: Simplify right side
    2,104.98x = 5,369,221.25
  5. Step 5: Solve for x
    x = 5,369,221.25/2,104.98
  6. Step 6: Final answer
    x = 2,550.72

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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.