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Finding the Fourth Proportional to 2,286.51, 3,431.70 and 900.81

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Solution

The fourth proportional to 2,286.51, 3,431.70 and 900.81 is: 1,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.51 : 3,431.70 = 900.81 : x
  2. Step 2: Convert to fraction form
    2,286.51/3,431.70 = 900.81/x
  3. Step 3: Cross multiply
    2,286.51x = 3,431.70 × 900.81
  4. Step 4: Simplify right side
    2,286.51x = 3,091,309.68
  5. Step 5: Solve for x
    x = 3,091,309.68/2,286.51
  6. Step 6: Final answer
    x = 1,351.98

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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.