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Finding the Fourth Proportional to 1,935.23, 2,902.49 and 548.24

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Solution

The fourth proportional to 1,935.23, 2,902.49 and 548.24 is: 822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.23 : 2,902.49 = 548.24 : x
  2. Step 2: Convert to fraction form
    1,935.23/2,902.49 = 548.24/x
  3. Step 3: Cross multiply
    1,935.23x = 2,902.49 × 548.24
  4. Step 4: Simplify right side
    1,935.23x = 1,591,243.86
  5. Step 5: Solve for x
    x = 1,591,243.86/1,935.23
  6. Step 6: Final answer
    x = 822.25

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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.