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Finding the Fourth Proportional to 2,103.78, 2,902.97 and 1,219.47

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Solution

The fourth proportional to 2,103.78, 2,902.97 and 1,219.47 is: 1,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.78 : 2,902.97 = 1,219.47 : x
  2. Step 2: Convert to fraction form
    2,103.78/2,902.97 = 1,219.47/x
  3. Step 3: Cross multiply
    2,103.78x = 2,902.97 × 1,219.47
  4. Step 4: Simplify right side
    2,103.78x = 3,540,084.83
  5. Step 5: Solve for x
    x = 3,540,084.83/2,103.78
  6. Step 6: Final answer
    x = 1,682.73

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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.