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Finding the Fourth Proportional to 3,394.14, 4,684.12 and 1,902

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Solution

The fourth proportional to 3,394.14, 4,684.12 and 1,902 is: 2,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.14 : 4,684.12 = 1,902 : x
  2. Step 2: Convert to fraction form
    3,394.14/4,684.12 = 1,902/x
  3. Step 3: Cross multiply
    3,394.14x = 4,684.12 × 1,902
  4. Step 4: Simplify right side
    3,394.14x = 8,909,196.24
  5. Step 5: Solve for x
    x = 8,909,196.24/3,394.14
  6. Step 6: Final answer
    x = 2,624.88

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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.