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Finding the Fourth Proportional to 2,481.61, 3,722.42 and 750.23

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Solution

The fourth proportional to 2,481.61, 3,722.42 and 750.23 is: 1,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.61 : 3,722.42 = 750.23 : x
  2. Step 2: Convert to fraction form
    2,481.61/3,722.42 = 750.23/x
  3. Step 3: Cross multiply
    2,481.61x = 3,722.42 × 750.23
  4. Step 4: Simplify right side
    2,481.61x = 2,792,685.10
  5. Step 5: Solve for x
    x = 2,792,685.10/2,481.61
  6. Step 6: Final answer
    x = 1,125.35

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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.