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Finding the Fourth Proportional to 2,077.22, 3,115.83 and 981.02

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Solution

The fourth proportional to 2,077.22, 3,115.83 and 981.02 is: 1,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.22 : 3,115.83 = 981.02 : x
  2. Step 2: Convert to fraction form
    2,077.22/3,115.83 = 981.02/x
  3. Step 3: Cross multiply
    2,077.22x = 3,115.83 × 981.02
  4. Step 4: Simplify right side
    2,077.22x = 3,056,675.97
  5. Step 5: Solve for x
    x = 3,056,675.97/2,077.22
  6. Step 6: Final answer
    x = 1,471.53

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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.