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Finding the Fourth Proportional to 2,646.52, 3,969.58 and 1,086.12

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Solution

The fourth proportional to 2,646.52, 3,969.58 and 1,086.12 is: 1,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.52 : 3,969.58 = 1,086.12 : x
  2. Step 2: Convert to fraction form
    2,646.52/3,969.58 = 1,086.12/x
  3. Step 3: Cross multiply
    2,646.52x = 3,969.58 × 1,086.12
  4. Step 4: Simplify right side
    2,646.52x = 4,311,447.44
  5. Step 5: Solve for x
    x = 4,311,447.44/2,646.52
  6. Step 6: Final answer
    x = 1,629.10

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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.