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Finding the Fourth Proportional to 2,091.28, 3,138.12 and 792.40

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Solution

The fourth proportional to 2,091.28, 3,138.12 and 792.40 is: 1,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.28 : 3,138.12 = 792.40 : x
  2. Step 2: Convert to fraction form
    2,091.28/3,138.12 = 792.40/x
  3. Step 3: Cross multiply
    2,091.28x = 3,138.12 × 792.40
  4. Step 4: Simplify right side
    2,091.28x = 2,486,646.29
  5. Step 5: Solve for x
    x = 2,486,646.29/2,091.28
  6. Step 6: Final answer
    x = 1,189.05

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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.