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Finding the Fourth Proportional to 2,658.88, 3,669.42 and 1,540.06

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Solution

The fourth proportional to 2,658.88, 3,669.42 and 1,540.06 is: 2,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.88 : 3,669.42 = 1,540.06 : x
  2. Step 2: Convert to fraction form
    2,658.88/3,669.42 = 1,540.06/x
  3. Step 3: Cross multiply
    2,658.88x = 3,669.42 × 1,540.06
  4. Step 4: Simplify right side
    2,658.88x = 5,651,126.97
  5. Step 5: Solve for x
    x = 5,651,126.97/2,658.88
  6. Step 6: Final answer
    x = 2,125.38

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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.