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Finding the Fourth Proportional to 2,608.02, 3,912.06 and 876.65

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Solution

The fourth proportional to 2,608.02, 3,912.06 and 876.65 is: 1,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.02 : 3,912.06 = 876.65 : x
  2. Step 2: Convert to fraction form
    2,608.02/3,912.06 = 876.65/x
  3. Step 3: Cross multiply
    2,608.02x = 3,912.06 × 876.65
  4. Step 4: Simplify right side
    2,608.02x = 3,429,487.84
  5. Step 5: Solve for x
    x = 3,429,487.84/2,608.02
  6. Step 6: Final answer
    x = 1,314.98

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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.