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Finding the Fourth Proportional to 3,022.61, 4,533.46 and 831.52

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Solution

The fourth proportional to 3,022.61, 4,533.46 and 831.52 is: 1,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.61 : 4,533.46 = 831.52 : x
  2. Step 2: Convert to fraction form
    3,022.61/4,533.46 = 831.52/x
  3. Step 3: Cross multiply
    3,022.61x = 4,533.46 × 831.52
  4. Step 4: Simplify right side
    3,022.61x = 3,769,662.66
  5. Step 5: Solve for x
    x = 3,769,662.66/3,022.61
  6. Step 6: Final answer
    x = 1,247.15

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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.