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Finding the Fourth Proportional to 1,908.58, 2,634.34 and 1,122.88

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Solution

The fourth proportional to 1,908.58, 2,634.34 and 1,122.88 is: 1,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.58 : 2,634.34 = 1,122.88 : x
  2. Step 2: Convert to fraction form
    1,908.58/2,634.34 = 1,122.88/x
  3. Step 3: Cross multiply
    1,908.58x = 2,634.34 × 1,122.88
  4. Step 4: Simplify right side
    1,908.58x = 2,958,047.70
  5. Step 5: Solve for x
    x = 2,958,047.70/1,908.58
  6. Step 6: Final answer
    x = 1,549.87

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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.