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Finding the Fourth Proportional to 3,227.78, 4,840.24 and 1,496.40

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Solution

The fourth proportional to 3,227.78, 4,840.24 and 1,496.40 is: 2,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.78 : 4,840.24 = 1,496.40 : x
  2. Step 2: Convert to fraction form
    3,227.78/4,840.24 = 1,496.40/x
  3. Step 3: Cross multiply
    3,227.78x = 4,840.24 × 1,496.40
  4. Step 4: Simplify right side
    3,227.78x = 7,242,935.14
  5. Step 5: Solve for x
    x = 7,242,935.14/3,227.78
  6. Step 6: Final answer
    x = 2,243.94

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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.