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Finding the Fourth Proportional to 2,740.28, 4,108.49 and 960.90

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Solution

The fourth proportional to 2,740.28, 4,108.49 and 960.90 is: 1,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.28 : 4,108.49 = 960.90 : x
  2. Step 2: Convert to fraction form
    2,740.28/4,108.49 = 960.90/x
  3. Step 3: Cross multiply
    2,740.28x = 4,108.49 × 960.90
  4. Step 4: Simplify right side
    2,740.28x = 3,947,848.04
  5. Step 5: Solve for x
    x = 3,947,848.04/2,740.28
  6. Step 6: Final answer
    x = 1,440.67

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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.