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Finding the Fourth Proportional to 3,393.90, 4,682.34 and 1,996.65

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Solution

The fourth proportional to 3,393.90, 4,682.34 and 1,996.65 is: 2,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.90 : 4,682.34 = 1,996.65 : x
  2. Step 2: Convert to fraction form
    3,393.90/4,682.34 = 1,996.65/x
  3. Step 3: Cross multiply
    3,393.90x = 4,682.34 × 1,996.65
  4. Step 4: Simplify right side
    3,393.90x = 9,348,994.16
  5. Step 5: Solve for x
    x = 9,348,994.16/3,393.90
  6. Step 6: Final answer
    x = 2,754.65

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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.