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Finding the Fourth Proportional to 2,596.34, 3,581.97 and 1,665.38

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Solution

The fourth proportional to 2,596.34, 3,581.97 and 1,665.38 is: 2,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.34 : 3,581.97 = 1,665.38 : x
  2. Step 2: Convert to fraction form
    2,596.34/3,581.97 = 1,665.38/x
  3. Step 3: Cross multiply
    2,596.34x = 3,581.97 × 1,665.38
  4. Step 4: Simplify right side
    2,596.34x = 5,965,341.20
  5. Step 5: Solve for x
    x = 5,965,341.20/2,596.34
  6. Step 6: Final answer
    x = 2,297.60

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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.