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Finding the Fourth Proportional to 3,221.49, 4,831.19 and 1,661.29

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Solution

The fourth proportional to 3,221.49, 4,831.19 and 1,661.29 is: 2,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.49 : 4,831.19 = 1,661.29 : x
  2. Step 2: Convert to fraction form
    3,221.49/4,831.19 = 1,661.29/x
  3. Step 3: Cross multiply
    3,221.49x = 4,831.19 × 1,661.29
  4. Step 4: Simplify right side
    3,221.49x = 8,026,007.64
  5. Step 5: Solve for x
    x = 8,026,007.64/3,221.49
  6. Step 6: Final answer
    x = 2,491.40

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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.