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Finding the Fourth Proportional to 2,609.87, 3,601.64 and 1,414.87

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Solution

The fourth proportional to 2,609.87, 3,601.64 and 1,414.87 is: 1,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.87 : 3,601.64 = 1,414.87 : x
  2. Step 2: Convert to fraction form
    2,609.87/3,601.64 = 1,414.87/x
  3. Step 3: Cross multiply
    2,609.87x = 3,601.64 × 1,414.87
  4. Step 4: Simplify right side
    2,609.87x = 5,095,827.30
  5. Step 5: Solve for x
    x = 5,095,827.30/2,609.87
  6. Step 6: Final answer
    x = 1,952.52

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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.