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Finding the Fourth Proportional to 2,759.41, 3,808.41 and 2,122.75

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Solution

The fourth proportional to 2,759.41, 3,808.41 and 2,122.75 is: 2,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.41 : 3,808.41 = 2,122.75 : x
  2. Step 2: Convert to fraction form
    2,759.41/3,808.41 = 2,122.75/x
  3. Step 3: Cross multiply
    2,759.41x = 3,808.41 × 2,122.75
  4. Step 4: Simplify right side
    2,759.41x = 8,084,302.33
  5. Step 5: Solve for x
    x = 8,084,302.33/2,759.41
  6. Step 6: Final answer
    x = 2,929.72

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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.