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Finding the Fourth Proportional to 2,489.62, 3,734.76 and 1,905.74

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Solution

The fourth proportional to 2,489.62, 3,734.76 and 1,905.74 is: 2,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.62 : 3,734.76 = 1,905.74 : x
  2. Step 2: Convert to fraction form
    2,489.62/3,734.76 = 1,905.74/x
  3. Step 3: Cross multiply
    2,489.62x = 3,734.76 × 1,905.74
  4. Step 4: Simplify right side
    2,489.62x = 7,117,481.52
  5. Step 5: Solve for x
    x = 7,117,481.52/2,489.62
  6. Step 6: Final answer
    x = 2,858.86

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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.