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Finding the Fourth Proportional to 2,077.56, 3,114.18 and 981

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Solution

The fourth proportional to 2,077.56, 3,114.18 and 981 is: 1,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.56 : 3,114.18 = 981 : x
  2. Step 2: Convert to fraction form
    2,077.56/3,114.18 = 981/x
  3. Step 3: Cross multiply
    2,077.56x = 3,114.18 × 981
  4. Step 4: Simplify right side
    2,077.56x = 3,055,010.58
  5. Step 5: Solve for x
    x = 3,055,010.58/2,077.56
  6. Step 6: Final answer
    x = 1,470.48

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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.