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Finding the Fourth Proportional to 2,286.34, 3,429.24 and 900.70

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Solution

The fourth proportional to 2,286.34, 3,429.24 and 900.70 is: 1,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.34 : 3,429.24 = 900.70 : x
  2. Step 2: Convert to fraction form
    2,286.34/3,429.24 = 900.70/x
  3. Step 3: Cross multiply
    2,286.34x = 3,429.24 × 900.70
  4. Step 4: Simplify right side
    2,286.34x = 3,088,716.47
  5. Step 5: Solve for x
    x = 3,088,716.47/2,286.34
  6. Step 6: Final answer
    x = 1,350.94

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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.