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Finding the Fourth Proportional to 2,540.62, 3,810.93 and 1,369.97

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Solution

The fourth proportional to 2,540.62, 3,810.93 and 1,369.97 is: 2,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.62 : 3,810.93 = 1,369.97 : x
  2. Step 2: Convert to fraction form
    2,540.62/3,810.93 = 1,369.97/x
  3. Step 3: Cross multiply
    2,540.62x = 3,810.93 × 1,369.97
  4. Step 4: Simplify right side
    2,540.62x = 5,220,859.77
  5. Step 5: Solve for x
    x = 5,220,859.77/2,540.62
  6. Step 6: Final answer
    x = 2,054.96

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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.