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Finding the Fourth Proportional to 1,494.45, 2,230.74 and 1,286.69

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Solution

The fourth proportional to 1,494.45, 2,230.74 and 1,286.69 is: 1,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.45 : 2,230.74 = 1,286.69 : x
  2. Step 2: Convert to fraction form
    1,494.45/2,230.74 = 1,286.69/x
  3. Step 3: Cross multiply
    1,494.45x = 2,230.74 × 1,286.69
  4. Step 4: Simplify right side
    1,494.45x = 2,870,259.70
  5. Step 5: Solve for x
    x = 2,870,259.70/1,494.45
  6. Step 6: Final answer
    x = 1,920.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.