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Finding the Fourth Proportional to 2,087.75, 3,131.81 and 548.75

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Solution

The fourth proportional to 2,087.75, 3,131.81 and 548.75 is: 823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.75 : 3,131.81 = 548.75 : x
  2. Step 2: Convert to fraction form
    2,087.75/3,131.81 = 548.75/x
  3. Step 3: Cross multiply
    2,087.75x = 3,131.81 × 548.75
  4. Step 4: Simplify right side
    2,087.75x = 1,718,580.74
  5. Step 5: Solve for x
    x = 1,718,580.74/2,087.75
  6. Step 6: Final answer
    x = 823.17

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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.