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Finding the Fourth Proportional to 2,740.05, 4,110.75 and 792.45

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Solution

The fourth proportional to 2,740.05, 4,110.75 and 792.45 is: 1,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.05 : 4,110.75 = 792.45 : x
  2. Step 2: Convert to fraction form
    2,740.05/4,110.75 = 792.45/x
  3. Step 3: Cross multiply
    2,740.05x = 4,110.75 × 792.45
  4. Step 4: Simplify right side
    2,740.05x = 3,257,563.84
  5. Step 5: Solve for x
    x = 3,257,563.84/2,740.05
  6. Step 6: Final answer
    x = 1,188.87

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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.