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Finding the Fourth Proportional to 2,513.36, 3,769.92 and 1,197.74

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Solution

The fourth proportional to 2,513.36, 3,769.92 and 1,197.74 is: 1,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.36 : 3,769.92 = 1,197.74 : x
  2. Step 2: Convert to fraction form
    2,513.36/3,769.92 = 1,197.74/x
  3. Step 3: Cross multiply
    2,513.36x = 3,769.92 × 1,197.74
  4. Step 4: Simplify right side
    2,513.36x = 4,515,365.13
  5. Step 5: Solve for x
    x = 4,515,365.13/2,513.36
  6. Step 6: Final answer
    x = 1,796.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.