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Finding the Fourth Proportional to 3,022.14, 4,533.21 and 831.20

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Solution

The fourth proportional to 3,022.14, 4,533.21 and 831.20 is: 1,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.14 : 4,533.21 = 831.20 : x
  2. Step 2: Convert to fraction form
    3,022.14/4,533.21 = 831.20/x
  3. Step 3: Cross multiply
    3,022.14x = 4,533.21 × 831.20
  4. Step 4: Simplify right side
    3,022.14x = 3,767,981.49
  5. Step 5: Solve for x
    x = 3,767,981.49/3,022.14
  6. Step 6: Final answer
    x = 1,246.79

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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.