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Finding the Fourth Proportional to 3,394.78, 4,684.74 and 1,902.69

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Solution

The fourth proportional to 3,394.78, 4,684.74 and 1,902.69 is: 2,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.78 : 4,684.74 = 1,902.69 : x
  2. Step 2: Convert to fraction form
    3,394.78/4,684.74 = 1,902.69/x
  3. Step 3: Cross multiply
    3,394.78x = 4,684.74 × 1,902.69
  4. Step 4: Simplify right side
    3,394.78x = 8,913,607.95
  5. Step 5: Solve for x
    x = 8,913,607.95/3,394.78
  6. Step 6: Final answer
    x = 2,625.68

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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.