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Finding the Fourth Proportional to 2,231.73, 3,076.93 and 1,831.93

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Solution

The fourth proportional to 2,231.73, 3,076.93 and 1,831.93 is: 2,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.73 : 3,076.93 = 1,831.93 : x
  2. Step 2: Convert to fraction form
    2,231.73/3,076.93 = 1,831.93/x
  3. Step 3: Cross multiply
    2,231.73x = 3,076.93 × 1,831.93
  4. Step 4: Simplify right side
    2,231.73x = 5,636,720.37
  5. Step 5: Solve for x
    x = 5,636,720.37/2,231.73
  6. Step 6: Final answer
    x = 2,525.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.