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Finding the Fourth Proportional to 2,286.98, 3,155.00 and 1,520.61

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Solution

The fourth proportional to 2,286.98, 3,155.00 and 1,520.61 is: 2,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.98 : 3,155.00 = 1,520.61 : x
  2. Step 2: Convert to fraction form
    2,286.98/3,155.00 = 1,520.61/x
  3. Step 3: Cross multiply
    2,286.98x = 3,155.00 × 1,520.61
  4. Step 4: Simplify right side
    2,286.98x = 4,797,516.95
  5. Step 5: Solve for x
    x = 4,797,516.95/2,286.98
  6. Step 6: Final answer
    x = 2,097.76

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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.