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Finding the Fourth Proportional to 2,608.48, 3,913.35 and 759.61

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Solution

The fourth proportional to 2,608.48, 3,913.35 and 759.61 is: 1,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.48 : 3,913.35 = 759.61 : x
  2. Step 2: Convert to fraction form
    2,608.48/3,913.35 = 759.61/x
  3. Step 3: Cross multiply
    2,608.48x = 3,913.35 × 759.61
  4. Step 4: Simplify right side
    2,608.48x = 2,972,628.25
  5. Step 5: Solve for x
    x = 2,972,628.25/2,608.48
  6. Step 6: Final answer
    x = 1,139.60

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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.