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Finding the Fourth Proportional to 3,394.26, 4,684.41 and 2,068.74

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Solution

The fourth proportional to 3,394.26, 4,684.41 and 2,068.74 is: 2,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.26 : 4,684.41 = 2,068.74 : x
  2. Step 2: Convert to fraction form
    3,394.26/4,684.41 = 2,068.74/x
  3. Step 3: Cross multiply
    3,394.26x = 4,684.41 × 2,068.74
  4. Step 4: Simplify right side
    3,394.26x = 9,690,826.34
  5. Step 5: Solve for x
    x = 9,690,826.34/3,394.26
  6. Step 6: Final answer
    x = 2,855.06

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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.