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Finding the Fourth Proportional to 1,705.38, 2,354.07 and 1,286.97

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Solution

The fourth proportional to 1,705.38, 2,354.07 and 1,286.97 is: 1,776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.38 : 2,354.07 = 1,286.97 : x
  2. Step 2: Convert to fraction form
    1,705.38/2,354.07 = 1,286.97/x
  3. Step 3: Cross multiply
    1,705.38x = 2,354.07 × 1,286.97
  4. Step 4: Simplify right side
    1,705.38x = 3,029,617.47
  5. Step 5: Solve for x
    x = 3,029,617.47/1,705.38
  6. Step 6: Final answer
    x = 1,776.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.