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Finding the Fourth Proportional to 2,087.60, 3,131.24 and 548.56

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Solution

The fourth proportional to 2,087.60, 3,131.24 and 548.56 is: 822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.60 : 3,131.24 = 548.56 : x
  2. Step 2: Convert to fraction form
    2,087.60/3,131.24 = 548.56/x
  3. Step 3: Cross multiply
    2,087.60x = 3,131.24 × 548.56
  4. Step 4: Simplify right side
    2,087.60x = 1,717,673.01
  5. Step 5: Solve for x
    x = 1,717,673.01/2,087.60
  6. Step 6: Final answer
    x = 822.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.