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Finding the Fourth Proportional to 2,831.22, 4,246.56 and 982.26

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Solution

The fourth proportional to 2,831.22, 4,246.56 and 982.26 is: 1,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.22 : 4,246.56 = 982.26 : x
  2. Step 2: Convert to fraction form
    2,831.22/4,246.56 = 982.26/x
  3. Step 3: Cross multiply
    2,831.22x = 4,246.56 × 982.26
  4. Step 4: Simplify right side
    2,831.22x = 4,171,226.03
  5. Step 5: Solve for x
    x = 4,171,226.03/2,831.22
  6. Step 6: Final answer
    x = 1,473.30

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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.