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Finding the Fourth Proportional to 2,734, 4,101.04 and 682

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Solution

The fourth proportional to 2,734, 4,101.04 and 682 is: 1,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734 : 4,101.04 = 682 : x
  2. Step 2: Convert to fraction form
    2,734/4,101.04 = 682/x
  3. Step 3: Cross multiply
    2,734x = 4,101.04 × 682
  4. Step 4: Simplify right side
    2,734x = 2,796,909.28
  5. Step 5: Solve for x
    x = 2,796,909.28/2,734
  6. Step 6: Final answer
    x = 1,023.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.