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Finding the Fourth Proportional to 3,391.69, 5,089.46 and 1,831.68

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Solution

The fourth proportional to 3,391.69, 5,089.46 and 1,831.68 is: 2,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.69 : 5,089.46 = 1,831.68 : x
  2. Step 2: Convert to fraction form
    3,391.69/5,089.46 = 1,831.68/x
  3. Step 3: Cross multiply
    3,391.69x = 5,089.46 × 1,831.68
  4. Step 4: Simplify right side
    3,391.69x = 9,322,262.09
  5. Step 5: Solve for x
    x = 9,322,262.09/3,391.69
  6. Step 6: Final answer
    x = 2,748.56

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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.