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Finding the Fourth Proportional to 2,569.41, 3,854.57 and 1,399.37

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Solution

The fourth proportional to 2,569.41, 3,854.57 and 1,399.37 is: 2,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.41 : 3,854.57 = 1,399.37 : x
  2. Step 2: Convert to fraction form
    2,569.41/3,854.57 = 1,399.37/x
  3. Step 3: Cross multiply
    2,569.41x = 3,854.57 × 1,399.37
  4. Step 4: Simplify right side
    2,569.41x = 5,393,943.35
  5. Step 5: Solve for x
    x = 5,393,943.35/2,569.41
  6. Step 6: Final answer
    x = 2,099.29

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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.