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Finding the Fourth Proportional to 2,489.50, 3,734.52 and 950.50

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Solution

The fourth proportional to 2,489.50, 3,734.52 and 950.50 is: 1,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.50 : 3,734.52 = 950.50 : x
  2. Step 2: Convert to fraction form
    2,489.50/3,734.52 = 950.50/x
  3. Step 3: Cross multiply
    2,489.50x = 3,734.52 × 950.50
  4. Step 4: Simplify right side
    2,489.50x = 3,549,661.26
  5. Step 5: Solve for x
    x = 3,549,661.26/2,489.50
  6. Step 6: Final answer
    x = 1,425.85

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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.