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Finding the Fourth Proportional to 2,286.65, 3,155.60 and 1,238.72

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Solution

The fourth proportional to 2,286.65, 3,155.60 and 1,238.72 is: 1,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.65 : 3,155.60 = 1,238.72 : x
  2. Step 2: Convert to fraction form
    2,286.65/3,155.60 = 1,238.72/x
  3. Step 3: Cross multiply
    2,286.65x = 3,155.60 × 1,238.72
  4. Step 4: Simplify right side
    2,286.65x = 3,908,882.86
  5. Step 5: Solve for x
    x = 3,908,882.86/2,286.65
  6. Step 6: Final answer
    x = 1,709.43

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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.