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Finding the Fourth Proportional to 2,574.29, 3,850.41 and 2,387.54

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Solution

The fourth proportional to 2,574.29, 3,850.41 and 2,387.54 is: 3,571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.29 : 3,850.41 = 2,387.54 : x
  2. Step 2: Convert to fraction form
    2,574.29/3,850.41 = 2,387.54/x
  3. Step 3: Cross multiply
    2,574.29x = 3,850.41 × 2,387.54
  4. Step 4: Simplify right side
    2,574.29x = 9,193,026.47
  5. Step 5: Solve for x
    x = 9,193,026.47/2,574.29
  6. Step 6: Final answer
    x = 3,571.09

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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.