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Finding the Fourth Proportional to 2,481.50, 3,424.48 and 1,377.50

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Solution

The fourth proportional to 2,481.50, 3,424.48 and 1,377.50 is: 1,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.50 : 3,424.48 = 1,377.50 : x
  2. Step 2: Convert to fraction form
    2,481.50/3,424.48 = 1,377.50/x
  3. Step 3: Cross multiply
    2,481.50x = 3,424.48 × 1,377.50
  4. Step 4: Simplify right side
    2,481.50x = 4,717,221.20
  5. Step 5: Solve for x
    x = 4,717,221.20/2,481.50
  6. Step 6: Final answer
    x = 1,900.96

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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.