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Finding the Fourth Proportional to 2,051.97, 3,077.24 and 1,270.78

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Solution

The fourth proportional to 2,051.97, 3,077.24 and 1,270.78 is: 1,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.97 : 3,077.24 = 1,270.78 : x
  2. Step 2: Convert to fraction form
    2,051.97/3,077.24 = 1,270.78/x
  3. Step 3: Cross multiply
    2,051.97x = 3,077.24 × 1,270.78
  4. Step 4: Simplify right side
    2,051.97x = 3,910,481.00
  5. Step 5: Solve for x
    x = 3,910,481.00/2,051.97
  6. Step 6: Final answer
    x = 1,905.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.