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Finding the Fourth Proportional to 2,219.10, 3,326.36 and 831.46

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Solution

The fourth proportional to 2,219.10, 3,326.36 and 831.46 is: 1,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.10 : 3,326.36 = 831.46 : x
  2. Step 2: Convert to fraction form
    2,219.10/3,326.36 = 831.46/x
  3. Step 3: Cross multiply
    2,219.10x = 3,326.36 × 831.46
  4. Step 4: Simplify right side
    2,219.10x = 2,765,722.81
  5. Step 5: Solve for x
    x = 2,765,722.81/2,219.10
  6. Step 6: Final answer
    x = 1,246.33

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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.