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Finding the Fourth Proportional to 2,540.93, 3,811.86 and 897.03

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Solution

The fourth proportional to 2,540.93, 3,811.86 and 897.03 is: 1,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.93 : 3,811.86 = 897.03 : x
  2. Step 2: Convert to fraction form
    2,540.93/3,811.86 = 897.03/x
  3. Step 3: Cross multiply
    2,540.93x = 3,811.86 × 897.03
  4. Step 4: Simplify right side
    2,540.93x = 3,419,352.78
  5. Step 5: Solve for x
    x = 3,419,352.78/2,540.93
  6. Step 6: Final answer
    x = 1,345.71

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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.