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Finding the Fourth Proportional to 2,564.27, 3,847.47 and 1,229.39

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Solution

The fourth proportional to 2,564.27, 3,847.47 and 1,229.39 is: 1,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.27 : 3,847.47 = 1,229.39 : x
  2. Step 2: Convert to fraction form
    2,564.27/3,847.47 = 1,229.39/x
  3. Step 3: Cross multiply
    2,564.27x = 3,847.47 × 1,229.39
  4. Step 4: Simplify right side
    2,564.27x = 4,730,041.14
  5. Step 5: Solve for x
    x = 4,730,041.14/2,564.27
  6. Step 6: Final answer
    x = 1,844.60

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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.