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Finding the Fourth Proportional to 1,908.96, 2,859.10 and 1,137.84

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Solution

The fourth proportional to 1,908.96, 2,859.10 and 1,137.84 is: 1,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.96 : 2,859.10 = 1,137.84 : x
  2. Step 2: Convert to fraction form
    1,908.96/2,859.10 = 1,137.84/x
  3. Step 3: Cross multiply
    1,908.96x = 2,859.10 × 1,137.84
  4. Step 4: Simplify right side
    1,908.96x = 3,253,198.34
  5. Step 5: Solve for x
    x = 3,253,198.34/1,908.96
  6. Step 6: Final answer
    x = 1,704.17

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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.