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Finding the Fourth Proportional to 2,564.26, 3,839.40 and 2,013.26

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Solution

The fourth proportional to 2,564.26, 3,839.40 and 2,013.26 is: 3,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.26 : 3,839.40 = 2,013.26 : x
  2. Step 2: Convert to fraction form
    2,564.26/3,839.40 = 2,013.26/x
  3. Step 3: Cross multiply
    2,564.26x = 3,839.40 × 2,013.26
  4. Step 4: Simplify right side
    2,564.26x = 7,729,691.25
  5. Step 5: Solve for x
    x = 7,729,691.25/2,564.26
  6. Step 6: Final answer
    x = 3,014.40

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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.