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Finding the Fourth Proportional to 2,167.05, 2,990.53 and 1,222.84

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Solution

The fourth proportional to 2,167.05, 2,990.53 and 1,222.84 is: 1,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.05 : 2,990.53 = 1,222.84 : x
  2. Step 2: Convert to fraction form
    2,167.05/2,990.53 = 1,222.84/x
  3. Step 3: Cross multiply
    2,167.05x = 2,990.53 × 1,222.84
  4. Step 4: Simplify right side
    2,167.05x = 3,656,944.97
  5. Step 5: Solve for x
    x = 3,656,944.97/2,167.05
  6. Step 6: Final answer
    x = 1,687.52

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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.