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Finding the Fourth Proportional to 2,662.44, 3,673.89 and 1,543.14

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Solution

The fourth proportional to 2,662.44, 3,673.89 and 1,543.14 is: 2,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.44 : 3,673.89 = 1,543.14 : x
  2. Step 2: Convert to fraction form
    2,662.44/3,673.89 = 1,543.14/x
  3. Step 3: Cross multiply
    2,662.44x = 3,673.89 × 1,543.14
  4. Step 4: Simplify right side
    2,662.44x = 5,669,326.61
  5. Step 5: Solve for x
    x = 5,669,326.61/2,662.44
  6. Step 6: Final answer
    x = 2,129.37

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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.