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Finding the Fourth Proportional to 3,243.64, 4,870.96 and 2,119.76

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Solution

The fourth proportional to 3,243.64, 4,870.96 and 2,119.76 is: 3,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.64 : 4,870.96 = 2,119.76 : x
  2. Step 2: Convert to fraction form
    3,243.64/4,870.96 = 2,119.76/x
  3. Step 3: Cross multiply
    3,243.64x = 4,870.96 × 2,119.76
  4. Step 4: Simplify right side
    3,243.64x = 10,325,266.17
  5. Step 5: Solve for x
    x = 10,325,266.17/3,243.64
  6. Step 6: Final answer
    x = 3,183.24

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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.