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Finding the Fourth Proportional to 1,908.82, 2,633.68 and 1,122.71

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Solution

The fourth proportional to 1,908.82, 2,633.68 and 1,122.71 is: 1,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.82 : 2,633.68 = 1,122.71 : x
  2. Step 2: Convert to fraction form
    1,908.82/2,633.68 = 1,122.71/x
  3. Step 3: Cross multiply
    1,908.82x = 2,633.68 × 1,122.71
  4. Step 4: Simplify right side
    1,908.82x = 2,956,858.87
  5. Step 5: Solve for x
    x = 2,956,858.87/1,908.82
  6. Step 6: Final answer
    x = 1,549.05

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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.