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Finding the Fourth Proportional to 2,286.42, 3,431.45 and 900.10

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Solution

The fourth proportional to 2,286.42, 3,431.45 and 900.10 is: 1,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.42 : 3,431.45 = 900.10 : x
  2. Step 2: Convert to fraction form
    2,286.42/3,431.45 = 900.10/x
  3. Step 3: Cross multiply
    2,286.42x = 3,431.45 × 900.10
  4. Step 4: Simplify right side
    2,286.42x = 3,088,648.15
  5. Step 5: Solve for x
    x = 3,088,648.15/2,286.42
  6. Step 6: Final answer
    x = 1,350.87

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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.