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Finding the Fourth Proportional to 2,675.88, 3,694.02 and 2,057.64

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Solution

The fourth proportional to 2,675.88, 3,694.02 and 2,057.64 is: 2,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.88 : 3,694.02 = 2,057.64 : x
  2. Step 2: Convert to fraction form
    2,675.88/3,694.02 = 2,057.64/x
  3. Step 3: Cross multiply
    2,675.88x = 3,694.02 × 2,057.64
  4. Step 4: Simplify right side
    2,675.88x = 7,600,963.31
  5. Step 5: Solve for x
    x = 7,600,963.31/2,675.88
  6. Step 6: Final answer
    x = 2,840.55

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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.