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Finding the Fourth Proportional to 2,218.76, 3,328.19 and 831.83

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Solution

The fourth proportional to 2,218.76, 3,328.19 and 831.83 is: 1,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.76 : 3,328.19 = 831.83 : x
  2. Step 2: Convert to fraction form
    2,218.76/3,328.19 = 831.83/x
  3. Step 3: Cross multiply
    2,218.76x = 3,328.19 × 831.83
  4. Step 4: Simplify right side
    2,218.76x = 2,768,488.29
  5. Step 5: Solve for x
    x = 2,768,488.29/2,218.76
  6. Step 6: Final answer
    x = 1,247.76

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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.