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Finding the Fourth Proportional to 3,209.42, 4,812.92 and 1,260.56

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Solution

The fourth proportional to 3,209.42, 4,812.92 and 1,260.56 is: 1,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.42 : 4,812.92 = 1,260.56 : x
  2. Step 2: Convert to fraction form
    3,209.42/4,812.92 = 1,260.56/x
  3. Step 3: Cross multiply
    3,209.42x = 4,812.92 × 1,260.56
  4. Step 4: Simplify right side
    3,209.42x = 6,066,984.89
  5. Step 5: Solve for x
    x = 6,066,984.89/3,209.42
  6. Step 6: Final answer
    x = 1,890.37

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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.