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Finding the Fourth Proportional to 1,634.20, 2,255.20 and 935.56

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Solution

The fourth proportional to 1,634.20, 2,255.20 and 935.56 is: 1,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.20 : 2,255.20 = 935.56 : x
  2. Step 2: Convert to fraction form
    1,634.20/2,255.20 = 935.56/x
  3. Step 3: Cross multiply
    1,634.20x = 2,255.20 × 935.56
  4. Step 4: Simplify right side
    1,634.20x = 2,109,874.91
  5. Step 5: Solve for x
    x = 2,109,874.91/1,634.20
  6. Step 6: Final answer
    x = 1,291.08

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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.