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Finding the Fourth Proportional to 1,765.43, 2,436.41 and 1,286.99

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Solution

The fourth proportional to 1,765.43, 2,436.41 and 1,286.99 is: 1,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.43 : 2,436.41 = 1,286.99 : x
  2. Step 2: Convert to fraction form
    1,765.43/2,436.41 = 1,286.99/x
  3. Step 3: Cross multiply
    1,765.43x = 2,436.41 × 1,286.99
  4. Step 4: Simplify right side
    1,765.43x = 3,135,616.69
  5. Step 5: Solve for x
    x = 3,135,616.69/1,765.43
  6. Step 6: Final answer
    x = 1,776.13

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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.