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Finding the Fourth Proportional to 2,720.76, 4,081.86 and 989.56

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Solution

The fourth proportional to 2,720.76, 4,081.86 and 989.56 is: 1,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.76 : 4,081.86 = 989.56 : x
  2. Step 2: Convert to fraction form
    2,720.76/4,081.86 = 989.56/x
  3. Step 3: Cross multiply
    2,720.76x = 4,081.86 × 989.56
  4. Step 4: Simplify right side
    2,720.76x = 4,039,245.38
  5. Step 5: Solve for x
    x = 4,039,245.38/2,720.76
  6. Step 6: Final answer
    x = 1,484.60

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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.