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Finding the Fourth Proportional to 2,580.54, 3,870.81 and 1,843.52

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Solution

The fourth proportional to 2,580.54, 3,870.81 and 1,843.52 is: 2,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.54 : 3,870.81 = 1,843.52 : x
  2. Step 2: Convert to fraction form
    2,580.54/3,870.81 = 1,843.52/x
  3. Step 3: Cross multiply
    2,580.54x = 3,870.81 × 1,843.52
  4. Step 4: Simplify right side
    2,580.54x = 7,135,896.30
  5. Step 5: Solve for x
    x = 7,135,896.30/2,580.54
  6. Step 6: Final answer
    x = 2,765.27

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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.