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Finding the Fourth Proportional to 2,543, 3,815.60 and 1,371.64

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Solution

The fourth proportional to 2,543, 3,815.60 and 1,371.64 is: 2,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543 : 3,815.60 = 1,371.64 : x
  2. Step 2: Convert to fraction form
    2,543/3,815.60 = 1,371.64/x
  3. Step 3: Cross multiply
    2,543x = 3,815.60 × 1,371.64
  4. Step 4: Simplify right side
    2,543x = 5,233,629.58
  5. Step 5: Solve for x
    x = 5,233,629.58/2,543
  6. Step 6: Final answer
    x = 2,058.05

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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.