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Finding the Fourth Proportional to 2,564.48, 3,843.97 and 1,831.84

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Solution

The fourth proportional to 2,564.48, 3,843.97 and 1,831.84 is: 2,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.48 : 3,843.97 = 1,831.84 : x
  2. Step 2: Convert to fraction form
    2,564.48/3,843.97 = 1,831.84/x
  3. Step 3: Cross multiply
    2,564.48x = 3,843.97 × 1,831.84
  4. Step 4: Simplify right side
    2,564.48x = 7,041,523.82
  5. Step 5: Solve for x
    x = 7,041,523.82/2,564.48
  6. Step 6: Final answer
    x = 2,745.79

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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.