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Finding the Fourth Proportional to 3,022.91, 4,534.46 and 831.66

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Solution

The fourth proportional to 3,022.91, 4,534.46 and 831.66 is: 1,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.91 : 4,534.46 = 831.66 : x
  2. Step 2: Convert to fraction form
    3,022.91/4,534.46 = 831.66/x
  3. Step 3: Cross multiply
    3,022.91x = 4,534.46 × 831.66
  4. Step 4: Simplify right side
    3,022.91x = 3,771,129.00
  5. Step 5: Solve for x
    x = 3,771,129.00/3,022.91
  6. Step 6: Final answer
    x = 1,247.52

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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.