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Finding the Fourth Proportional to 2,780.15, 3,840.24 and 2,251.01

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Solution

The fourth proportional to 2,780.15, 3,840.24 and 2,251.01 is: 3,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.15 : 3,840.24 = 2,251.01 : x
  2. Step 2: Convert to fraction form
    2,780.15/3,840.24 = 2,251.01/x
  3. Step 3: Cross multiply
    2,780.15x = 3,840.24 × 2,251.01
  4. Step 4: Simplify right side
    2,780.15x = 8,644,399.44
  5. Step 5: Solve for x
    x = 8,644,399.44/2,780.15
  6. Step 6: Final answer
    x = 3,109.33

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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.