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Finding the Fourth Proportional to 2,481.71, 3,722.54 and 750.34

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Solution

The fourth proportional to 2,481.71, 3,722.54 and 750.34 is: 1,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.71 : 3,722.54 = 750.34 : x
  2. Step 2: Convert to fraction form
    2,481.71/3,722.54 = 750.34/x
  3. Step 3: Cross multiply
    2,481.71x = 3,722.54 × 750.34
  4. Step 4: Simplify right side
    2,481.71x = 2,793,152.05
  5. Step 5: Solve for x
    x = 2,793,152.05/2,481.71
  6. Step 6: Final answer
    x = 1,125.49

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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.