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Finding the Fourth Proportional to 1,436.26, 1,981.32 and 905.80

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Solution

The fourth proportional to 1,436.26, 1,981.32 and 905.80 is: 1,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.26 : 1,981.32 = 905.80 : x
  2. Step 2: Convert to fraction form
    1,436.26/1,981.32 = 905.80/x
  3. Step 3: Cross multiply
    1,436.26x = 1,981.32 × 905.80
  4. Step 4: Simplify right side
    1,436.26x = 1,794,679.66
  5. Step 5: Solve for x
    x = 1,794,679.66/1,436.26
  6. Step 6: Final answer
    x = 1,249.55

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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.