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Finding the Fourth Proportional to 2,133.72, 2,944.52 and 1,202.22

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Solution

The fourth proportional to 2,133.72, 2,944.52 and 1,202.22 is: 1,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.72 : 2,944.52 = 1,202.22 : x
  2. Step 2: Convert to fraction form
    2,133.72/2,944.52 = 1,202.22/x
  3. Step 3: Cross multiply
    2,133.72x = 2,944.52 × 1,202.22
  4. Step 4: Simplify right side
    2,133.72x = 3,539,954.82
  5. Step 5: Solve for x
    x = 3,539,954.82/2,133.72
  6. Step 6: Final answer
    x = 1,659.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.