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Finding the Fourth Proportional to 2,571.16, 3,858.90 and 1,339

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Solution

The fourth proportional to 2,571.16, 3,858.90 and 1,339 is: 2,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.16 : 3,858.90 = 1,339 : x
  2. Step 2: Convert to fraction form
    2,571.16/3,858.90 = 1,339/x
  3. Step 3: Cross multiply
    2,571.16x = 3,858.90 × 1,339
  4. Step 4: Simplify right side
    2,571.16x = 5,167,067.10
  5. Step 5: Solve for x
    x = 5,167,067.10/2,571.16
  6. Step 6: Final answer
    x = 2,009.62

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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.