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Finding the Fourth Proportional to 2,602.82, 3,593.14 and 1,671.14

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Solution

The fourth proportional to 2,602.82, 3,593.14 and 1,671.14 is: 2,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.82 : 3,593.14 = 1,671.14 : x
  2. Step 2: Convert to fraction form
    2,602.82/3,593.14 = 1,671.14/x
  3. Step 3: Cross multiply
    2,602.82x = 3,593.14 × 1,671.14
  4. Step 4: Simplify right side
    2,602.82x = 6,004,639.98
  5. Step 5: Solve for x
    x = 6,004,639.98/2,602.82
  6. Step 6: Final answer
    x = 2,306.97

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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.