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Finding the Fourth Proportional to 2,286.89, 3,427.98 and 899.66

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Solution

The fourth proportional to 2,286.89, 3,427.98 and 899.66 is: 1,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.89 : 3,427.98 = 899.66 : x
  2. Step 2: Convert to fraction form
    2,286.89/3,427.98 = 899.66/x
  3. Step 3: Cross multiply
    2,286.89x = 3,427.98 × 899.66
  4. Step 4: Simplify right side
    2,286.89x = 3,084,021.68
  5. Step 5: Solve for x
    x = 3,084,021.68/2,286.89
  6. Step 6: Final answer
    x = 1,348.57

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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.