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Finding the Fourth Proportional to 2,603.14, 3,593.09 and 1,608.05

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Solution

The fourth proportional to 2,603.14, 3,593.09 and 1,608.05 is: 2,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.14 : 3,593.09 = 1,608.05 : x
  2. Step 2: Convert to fraction form
    2,603.14/3,593.09 = 1,608.05/x
  3. Step 3: Cross multiply
    2,603.14x = 3,593.09 × 1,608.05
  4. Step 4: Simplify right side
    2,603.14x = 5,777,881.38
  5. Step 5: Solve for x
    x = 5,777,881.38/2,603.14
  6. Step 6: Final answer
    x = 2,219.58

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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.