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Finding the Fourth Proportional to 2,092.16, 3,138.67 and 611.38

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Solution

The fourth proportional to 2,092.16, 3,138.67 and 611.38 is: 917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.16 : 3,138.67 = 611.38 : x
  2. Step 2: Convert to fraction form
    2,092.16/3,138.67 = 611.38/x
  3. Step 3: Cross multiply
    2,092.16x = 3,138.67 × 611.38
  4. Step 4: Simplify right side
    2,092.16x = 1,918,921.31
  5. Step 5: Solve for x
    x = 1,918,921.31/2,092.16
  6. Step 6: Final answer
    x = 917.20

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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.