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Finding the Fourth Proportional to 2,866.68, 4,297.59 and 917.82

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Solution

The fourth proportional to 2,866.68, 4,297.59 and 917.82 is: 1,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.68 : 4,297.59 = 917.82 : x
  2. Step 2: Convert to fraction form
    2,866.68/4,297.59 = 917.82/x
  3. Step 3: Cross multiply
    2,866.68x = 4,297.59 × 917.82
  4. Step 4: Simplify right side
    2,866.68x = 3,944,414.05
  5. Step 5: Solve for x
    x = 3,944,414.05/2,866.68
  6. Step 6: Final answer
    x = 1,375.95

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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.