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Finding the Fourth Proportional to 2,155.70, 3,233.55 and 1,831.70

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Solution

The fourth proportional to 2,155.70, 3,233.55 and 1,831.70 is: 2,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.70 : 3,233.55 = 1,831.70 : x
  2. Step 2: Convert to fraction form
    2,155.70/3,233.55 = 1,831.70/x
  3. Step 3: Cross multiply
    2,155.70x = 3,233.55 × 1,831.70
  4. Step 4: Simplify right side
    2,155.70x = 5,922,893.54
  5. Step 5: Solve for x
    x = 5,922,893.54/2,155.70
  6. Step 6: Final answer
    x = 2,747.55

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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.