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Finding the Fourth Proportional to 2,950.74, 4,073.49 and 2,286.09

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Solution

The fourth proportional to 2,950.74, 4,073.49 and 2,286.09 is: 3,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.74 : 4,073.49 = 2,286.09 : x
  2. Step 2: Convert to fraction form
    2,950.74/4,073.49 = 2,286.09/x
  3. Step 3: Cross multiply
    2,950.74x = 4,073.49 × 2,286.09
  4. Step 4: Simplify right side
    2,950.74x = 9,312,364.75
  5. Step 5: Solve for x
    x = 9,312,364.75/2,950.74
  6. Step 6: Final answer
    x = 3,155.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.