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Finding the Fourth Proportional to 2,092.01, 3,138.10 and 792.77

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Solution

The fourth proportional to 2,092.01, 3,138.10 and 792.77 is: 1,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.01 : 3,138.10 = 792.77 : x
  2. Step 2: Convert to fraction form
    2,092.01/3,138.10 = 792.77/x
  3. Step 3: Cross multiply
    2,092.01x = 3,138.10 × 792.77
  4. Step 4: Simplify right side
    2,092.01x = 2,487,773.86
  5. Step 5: Solve for x
    x = 2,487,773.86/2,092.01
  6. Step 6: Final answer
    x = 1,189.18

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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.