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Finding the Fourth Proportional to 3,022.26, 4,532.68 and 831.16

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Solution

The fourth proportional to 3,022.26, 4,532.68 and 831.16 is: 1,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.26 : 4,532.68 = 831.16 : x
  2. Step 2: Convert to fraction form
    3,022.26/4,532.68 = 831.16/x
  3. Step 3: Cross multiply
    3,022.26x = 4,532.68 × 831.16
  4. Step 4: Simplify right side
    3,022.26x = 3,767,382.31
  5. Step 5: Solve for x
    x = 3,767,382.31/3,022.26
  6. Step 6: Final answer
    x = 1,246.54

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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.