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Finding the Fourth Proportional to 3,022.67, 4,534.01 and 831.42

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Solution

The fourth proportional to 3,022.67, 4,534.01 and 831.42 is: 1,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.67 : 4,534.01 = 831.42 : x
  2. Step 2: Convert to fraction form
    3,022.67/4,534.01 = 831.42/x
  3. Step 3: Cross multiply
    3,022.67x = 4,534.01 × 831.42
  4. Step 4: Simplify right side
    3,022.67x = 3,769,668.67
  5. Step 5: Solve for x
    x = 3,769,668.67/3,022.67
  6. Step 6: Final answer
    x = 1,247.13

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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.