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Finding the Fourth Proportional to 2,734.50, 4,101.75 and 682.50

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Solution

The fourth proportional to 2,734.50, 4,101.75 and 682.50 is: 1,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.50 : 4,101.75 = 682.50 : x
  2. Step 2: Convert to fraction form
    2,734.50/4,101.75 = 682.50/x
  3. Step 3: Cross multiply
    2,734.50x = 4,101.75 × 682.50
  4. Step 4: Simplify right side
    2,734.50x = 2,799,444.38
  5. Step 5: Solve for x
    x = 2,799,444.38/2,734.50
  6. Step 6: Final answer
    x = 1,023.75

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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.