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Finding the Fourth Proportional to 2,859.58, 4,286.90 and 1,105.81

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Solution

The fourth proportional to 2,859.58, 4,286.90 and 1,105.81 is: 1,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.58 : 4,286.90 = 1,105.81 : x
  2. Step 2: Convert to fraction form
    2,859.58/4,286.90 = 1,105.81/x
  3. Step 3: Cross multiply
    2,859.58x = 4,286.90 × 1,105.81
  4. Step 4: Simplify right side
    2,859.58x = 4,740,496.89
  5. Step 5: Solve for x
    x = 4,740,496.89/2,859.58
  6. Step 6: Final answer
    x = 1,657.76

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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.