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Finding the Fourth Proportional to 3,398.94, 4,690.40 and 1,982.68

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Solution

The fourth proportional to 3,398.94, 4,690.40 and 1,982.68 is: 2,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.94 : 4,690.40 = 1,982.68 : x
  2. Step 2: Convert to fraction form
    3,398.94/4,690.40 = 1,982.68/x
  3. Step 3: Cross multiply
    3,398.94x = 4,690.40 × 1,982.68
  4. Step 4: Simplify right side
    3,398.94x = 9,299,562.27
  5. Step 5: Solve for x
    x = 9,299,562.27/3,398.94
  6. Step 6: Final answer
    x = 2,736.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.