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Finding the Fourth Proportional to 2,062.74, 3,091.20 and 1,138.71

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Solution

The fourth proportional to 2,062.74, 3,091.20 and 1,138.71 is: 1,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.74 : 3,091.20 = 1,138.71 : x
  2. Step 2: Convert to fraction form
    2,062.74/3,091.20 = 1,138.71/x
  3. Step 3: Cross multiply
    2,062.74x = 3,091.20 × 1,138.71
  4. Step 4: Simplify right side
    2,062.74x = 3,519,980.35
  5. Step 5: Solve for x
    x = 3,519,980.35/2,062.74
  6. Step 6: Final answer
    x = 1,706.46

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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.