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Finding the Fourth Proportional to 2,564.38, 3,844.21 and 1,247.39

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Solution

The fourth proportional to 2,564.38, 3,844.21 and 1,247.39 is: 1,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.38 : 3,844.21 = 1,247.39 : x
  2. Step 2: Convert to fraction form
    2,564.38/3,844.21 = 1,247.39/x
  3. Step 3: Cross multiply
    2,564.38x = 3,844.21 × 1,247.39
  4. Step 4: Simplify right side
    2,564.38x = 4,795,229.11
  5. Step 5: Solve for x
    x = 4,795,229.11/2,564.38
  6. Step 6: Final answer
    x = 1,869.94

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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.