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Finding the Fourth Proportional to 2,980.67, 4,449.13 and 2,760.75

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Solution

The fourth proportional to 2,980.67, 4,449.13 and 2,760.75 is: 4,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.67 : 4,449.13 = 2,760.75 : x
  2. Step 2: Convert to fraction form
    2,980.67/4,449.13 = 2,760.75/x
  3. Step 3: Cross multiply
    2,980.67x = 4,449.13 × 2,760.75
  4. Step 4: Simplify right side
    2,980.67x = 12,282,928.75
  5. Step 5: Solve for x
    x = 12,282,928.75/2,980.67
  6. Step 6: Final answer
    x = 4,120.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.