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Finding the Fourth Proportional to 2,092.46, 3,139.16 and 793.94

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Solution

The fourth proportional to 2,092.46, 3,139.16 and 793.94 is: 1,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.46 : 3,139.16 = 793.94 : x
  2. Step 2: Convert to fraction form
    2,092.46/3,139.16 = 793.94/x
  3. Step 3: Cross multiply
    2,092.46x = 3,139.16 × 793.94
  4. Step 4: Simplify right side
    2,092.46x = 2,492,285.02
  5. Step 5: Solve for x
    x = 2,492,285.02/2,092.46
  6. Step 6: Final answer
    x = 1,191.08

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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.