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Finding the Fourth Proportional to 2,655.58, 3,668.25 and 1,997.38

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Solution

The fourth proportional to 2,655.58, 3,668.25 and 1,997.38 is: 2,759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.58 : 3,668.25 = 1,997.38 : x
  2. Step 2: Convert to fraction form
    2,655.58/3,668.25 = 1,997.38/x
  3. Step 3: Cross multiply
    2,655.58x = 3,668.25 × 1,997.38
  4. Step 4: Simplify right side
    2,655.58x = 7,326,889.19
  5. Step 5: Solve for x
    x = 7,326,889.19/2,655.58
  6. Step 6: Final answer
    x = 2,759.05

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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.