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Finding the Fourth Proportional to 1,934.88, 2,902.17 and 548.27

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Solution

The fourth proportional to 1,934.88, 2,902.17 and 548.27 is: 822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.88 : 2,902.17 = 548.27 : x
  2. Step 2: Convert to fraction form
    1,934.88/2,902.17 = 548.27/x
  3. Step 3: Cross multiply
    1,934.88x = 2,902.17 × 548.27
  4. Step 4: Simplify right side
    1,934.88x = 1,591,158.24
  5. Step 5: Solve for x
    x = 1,591,158.24/1,934.88
  6. Step 6: Final answer
    x = 822.35

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