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Finding the Fourth Proportional to 2,222.17, 3,330.94 and 905.36

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Solution

The fourth proportional to 2,222.17, 3,330.94 and 905.36 is: 1,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.17 : 3,330.94 = 905.36 : x
  2. Step 2: Convert to fraction form
    2,222.17/3,330.94 = 905.36/x
  3. Step 3: Cross multiply
    2,222.17x = 3,330.94 × 905.36
  4. Step 4: Simplify right side
    2,222.17x = 3,015,691.51
  5. Step 5: Solve for x
    x = 3,015,691.51/2,222.17
  6. Step 6: Final answer
    x = 1,357.09

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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.