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Finding the Fourth Proportional to 2,062.14, 3,092.60 and 581.26

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Solution

The fourth proportional to 2,062.14, 3,092.60 and 581.26 is: 871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.14 : 3,092.60 = 581.26 : x
  2. Step 2: Convert to fraction form
    2,062.14/3,092.60 = 581.26/x
  3. Step 3: Cross multiply
    2,062.14x = 3,092.60 × 581.26
  4. Step 4: Simplify right side
    2,062.14x = 1,797,594.04
  5. Step 5: Solve for x
    x = 1,797,594.04/2,062.14
  6. Step 6: Final answer
    x = 871.72

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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.