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Finding the Fourth Proportional to 2,542.91, 3,507.41 and 1,548.26

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Solution

The fourth proportional to 2,542.91, 3,507.41 and 1,548.26 is: 2,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.91 : 3,507.41 = 1,548.26 : x
  2. Step 2: Convert to fraction form
    2,542.91/3,507.41 = 1,548.26/x
  3. Step 3: Cross multiply
    2,542.91x = 3,507.41 × 1,548.26
  4. Step 4: Simplify right side
    2,542.91x = 5,430,357.33
  5. Step 5: Solve for x
    x = 5,430,357.33/2,542.91
  6. Step 6: Final answer
    x = 2,135.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.