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Finding the Fourth Proportional to 2,351.46, 3,527.21 and 1,912.20

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Solution

The fourth proportional to 2,351.46, 3,527.21 and 1,912.20 is: 2,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.46 : 3,527.21 = 1,912.20 : x
  2. Step 2: Convert to fraction form
    2,351.46/3,527.21 = 1,912.20/x
  3. Step 3: Cross multiply
    2,351.46x = 3,527.21 × 1,912.20
  4. Step 4: Simplify right side
    2,351.46x = 6,744,730.96
  5. Step 5: Solve for x
    x = 6,744,730.96/2,351.46
  6. Step 6: Final answer
    x = 2,868.32

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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.