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Finding the Fourth Proportional to 3,394.22, 4,684.07 and 1,902.11

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Solution

The fourth proportional to 3,394.22, 4,684.07 and 1,902.11 is: 2,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.22 : 4,684.07 = 1,902.11 : x
  2. Step 2: Convert to fraction form
    3,394.22/4,684.07 = 1,902.11/x
  3. Step 3: Cross multiply
    3,394.22x = 4,684.07 × 1,902.11
  4. Step 4: Simplify right side
    3,394.22x = 8,909,616.39
  5. Step 5: Solve for x
    x = 8,909,616.39/3,394.22
  6. Step 6: Final answer
    x = 2,624.94

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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.