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Finding the Fourth Proportional to 2,898.75, 3,997.56 and 2,234.55

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Solution

The fourth proportional to 2,898.75, 3,997.56 and 2,234.55 is: 3,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.75 : 3,997.56 = 2,234.55 : x
  2. Step 2: Convert to fraction form
    2,898.75/3,997.56 = 2,234.55/x
  3. Step 3: Cross multiply
    2,898.75x = 3,997.56 × 2,234.55
  4. Step 4: Simplify right side
    2,898.75x = 8,932,747.70
  5. Step 5: Solve for x
    x = 8,932,747.70/2,898.75
  6. Step 6: Final answer
    x = 3,081.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.