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Finding the Fourth Proportional to 2,513.78, 3,469.02 and 1,394.73

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Solution

The fourth proportional to 2,513.78, 3,469.02 and 1,394.73 is: 1,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.78 : 3,469.02 = 1,394.73 : x
  2. Step 2: Convert to fraction form
    2,513.78/3,469.02 = 1,394.73/x
  3. Step 3: Cross multiply
    2,513.78x = 3,469.02 × 1,394.73
  4. Step 4: Simplify right side
    2,513.78x = 4,838,346.26
  5. Step 5: Solve for x
    x = 4,838,346.26/2,513.78
  6. Step 6: Final answer
    x = 1,924.73

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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.