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Finding the Fourth Proportional to 2,546, 3,816.36 and 1,086.08

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Solution

The fourth proportional to 2,546, 3,816.36 and 1,086.08 is: 1,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546 : 3,816.36 = 1,086.08 : x
  2. Step 2: Convert to fraction form
    2,546/3,816.36 = 1,086.08/x
  3. Step 3: Cross multiply
    2,546x = 3,816.36 × 1,086.08
  4. Step 4: Simplify right side
    2,546x = 4,144,872.27
  5. Step 5: Solve for x
    x = 4,144,872.27/2,546
  6. Step 6: Final answer
    x = 1,627.99

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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.