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Finding the Fourth Proportional to 2,713, 3,744.64 and 1,665.94

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Solution

The fourth proportional to 2,713, 3,744.64 and 1,665.94 is: 2,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713 : 3,744.64 = 1,665.94 : x
  2. Step 2: Convert to fraction form
    2,713/3,744.64 = 1,665.94/x
  3. Step 3: Cross multiply
    2,713x = 3,744.64 × 1,665.94
  4. Step 4: Simplify right side
    2,713x = 6,238,345.56
  5. Step 5: Solve for x
    x = 6,238,345.56/2,713
  6. Step 6: Final answer
    x = 2,299.43

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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.