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Finding the Fourth Proportional to 2,165.74, 3,261.97 and 2,062.06

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Solution

The fourth proportional to 2,165.74, 3,261.97 and 2,062.06 is: 3,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.74 : 3,261.97 = 2,062.06 : x
  2. Step 2: Convert to fraction form
    2,165.74/3,261.97 = 2,062.06/x
  3. Step 3: Cross multiply
    2,165.74x = 3,261.97 × 2,062.06
  4. Step 4: Simplify right side
    2,165.74x = 6,726,377.86
  5. Step 5: Solve for x
    x = 6,726,377.86/2,165.74
  6. Step 6: Final answer
    x = 3,105.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.