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Finding the Fourth Proportional to 2,288.45, 3,431.16 and 900.92

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Solution

The fourth proportional to 2,288.45, 3,431.16 and 900.92 is: 1,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.45 : 3,431.16 = 900.92 : x
  2. Step 2: Convert to fraction form
    2,288.45/3,431.16 = 900.92/x
  3. Step 3: Cross multiply
    2,288.45x = 3,431.16 × 900.92
  4. Step 4: Simplify right side
    2,288.45x = 3,091,209.25
  5. Step 5: Solve for x
    x = 3,091,209.25/2,288.45
  6. Step 6: Final answer
    x = 1,350.79

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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.