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Finding the Fourth Proportional to 2,227.06, 3,343.05 and 2,171.20

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Solution

The fourth proportional to 2,227.06, 3,343.05 and 2,171.20 is: 3,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.06 : 3,343.05 = 2,171.20 : x
  2. Step 2: Convert to fraction form
    2,227.06/3,343.05 = 2,171.20/x
  3. Step 3: Cross multiply
    2,227.06x = 3,343.05 × 2,171.20
  4. Step 4: Simplify right side
    2,227.06x = 7,258,430.16
  5. Step 5: Solve for x
    x = 7,258,430.16/2,227.06
  6. Step 6: Final answer
    x = 3,259.20

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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.