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Finding the Fourth Proportional to 2,204.22, 3,306.90 and 971.87

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Solution

The fourth proportional to 2,204.22, 3,306.90 and 971.87 is: 1,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.22 : 3,306.90 = 971.87 : x
  2. Step 2: Convert to fraction form
    2,204.22/3,306.90 = 971.87/x
  3. Step 3: Cross multiply
    2,204.22x = 3,306.90 × 971.87
  4. Step 4: Simplify right side
    2,204.22x = 3,213,860.37
  5. Step 5: Solve for x
    x = 3,213,860.37/2,204.22
  6. Step 6: Final answer
    x = 1,458.05

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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.