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Finding the Fourth Proportional to 3,278.40, 4,523.22 and 2,097.42

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Solution

The fourth proportional to 3,278.40, 4,523.22 and 2,097.42 is: 2,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.40 : 4,523.22 = 2,097.42 : x
  2. Step 2: Convert to fraction form
    3,278.40/4,523.22 = 2,097.42/x
  3. Step 3: Cross multiply
    3,278.40x = 4,523.22 × 2,097.42
  4. Step 4: Simplify right side
    3,278.40x = 9,487,092.09
  5. Step 5: Solve for x
    x = 9,487,092.09/3,278.40
  6. Step 6: Final answer
    x = 2,893.82

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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.