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Finding the Fourth Proportional to 2,092.24, 3,138.36 and 794.08

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Solution

The fourth proportional to 2,092.24, 3,138.36 and 794.08 is: 1,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.24 : 3,138.36 = 794.08 : x
  2. Step 2: Convert to fraction form
    2,092.24/3,138.36 = 794.08/x
  3. Step 3: Cross multiply
    2,092.24x = 3,138.36 × 794.08
  4. Step 4: Simplify right side
    2,092.24x = 2,492,108.91
  5. Step 5: Solve for x
    x = 2,492,108.91/2,092.24
  6. Step 6: Final answer
    x = 1,191.12

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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.