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Finding the Fourth Proportional to 2,740.11, 4,110.77 and 792.17

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Solution

The fourth proportional to 2,740.11, 4,110.77 and 792.17 is: 1,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.11 : 4,110.77 = 792.17 : x
  2. Step 2: Convert to fraction form
    2,740.11/4,110.77 = 792.17/x
  3. Step 3: Cross multiply
    2,740.11x = 4,110.77 × 792.17
  4. Step 4: Simplify right side
    2,740.11x = 3,256,428.67
  5. Step 5: Solve for x
    x = 3,256,428.67/2,740.11
  6. Step 6: Final answer
    x = 1,188.43

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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.