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Finding the Fourth Proportional to 2,890.50, 4,335.87 and 838.50

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Solution

The fourth proportional to 2,890.50, 4,335.87 and 838.50 is: 1,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.50 : 4,335.87 = 838.50 : x
  2. Step 2: Convert to fraction form
    2,890.50/4,335.87 = 838.50/x
  3. Step 3: Cross multiply
    2,890.50x = 4,335.87 × 838.50
  4. Step 4: Simplify right side
    2,890.50x = 3,635,627.00
  5. Step 5: Solve for x
    x = 3,635,627.00/2,890.50
  6. Step 6: Final answer
    x = 1,257.78

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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.