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Finding the Fourth Proportional to 3,443.98, 5,164.08 and 1,221.70

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Solution

The fourth proportional to 3,443.98, 5,164.08 and 1,221.70 is: 1,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.98 : 5,164.08 = 1,221.70 : x
  2. Step 2: Convert to fraction form
    3,443.98/5,164.08 = 1,221.70/x
  3. Step 3: Cross multiply
    3,443.98x = 5,164.08 × 1,221.70
  4. Step 4: Simplify right side
    3,443.98x = 6,308,956.54
  5. Step 5: Solve for x
    x = 6,308,956.54/3,443.98
  6. Step 6: Final answer
    x = 1,831.88

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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.