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Finding the Fourth Proportional to 1,634.57, 2,255.70 and 936.08

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Solution

The fourth proportional to 1,634.57, 2,255.70 and 936.08 is: 1,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.57 : 2,255.70 = 936.08 : x
  2. Step 2: Convert to fraction form
    1,634.57/2,255.70 = 936.08/x
  3. Step 3: Cross multiply
    1,634.57x = 2,255.70 × 936.08
  4. Step 4: Simplify right side
    1,634.57x = 2,111,499.70
  5. Step 5: Solve for x
    x = 2,111,499.70/1,634.57
  6. Step 6: Final answer
    x = 1,291.78

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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.