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Finding the Fourth Proportional to 2,660.64, 3,669.09 and 1,664.64

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Solution

The fourth proportional to 2,660.64, 3,669.09 and 1,664.64 is: 2,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.64 : 3,669.09 = 1,664.64 : x
  2. Step 2: Convert to fraction form
    2,660.64/3,669.09 = 1,664.64/x
  3. Step 3: Cross multiply
    2,660.64x = 3,669.09 × 1,664.64
  4. Step 4: Simplify right side
    2,660.64x = 6,107,713.98
  5. Step 5: Solve for x
    x = 6,107,713.98/2,660.64
  6. Step 6: Final answer
    x = 2,295.58

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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.