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Finding the Fourth Proportional to 2,548, 3,822.09 and 1,086.15

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Solution

The fourth proportional to 2,548, 3,822.09 and 1,086.15 is: 1,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548 : 3,822.09 = 1,086.15 : x
  2. Step 2: Convert to fraction form
    2,548/3,822.09 = 1,086.15/x
  3. Step 3: Cross multiply
    2,548x = 3,822.09 × 1,086.15
  4. Step 4: Simplify right side
    2,548x = 4,151,363.05
  5. Step 5: Solve for x
    x = 4,151,363.05/2,548
  6. Step 6: Final answer
    x = 1,629.26

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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.