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Finding the Fourth Proportional to 2,474.64, 3,711.39 and 719.19

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Solution

The fourth proportional to 2,474.64, 3,711.39 and 719.19 is: 1,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.64 : 3,711.39 = 719.19 : x
  2. Step 2: Convert to fraction form
    2,474.64/3,711.39 = 719.19/x
  3. Step 3: Cross multiply
    2,474.64x = 3,711.39 × 719.19
  4. Step 4: Simplify right side
    2,474.64x = 2,669,194.57
  5. Step 5: Solve for x
    x = 2,669,194.57/2,474.64
  6. Step 6: Final answer
    x = 1,078.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.