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Finding the Fourth Proportional to 2,646.25, 3,969.38 and 1,107.25

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Solution

The fourth proportional to 2,646.25, 3,969.38 and 1,107.25 is: 1,660.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.25 : 3,969.38 = 1,107.25 : x
  2. Step 2: Convert to fraction form
    2,646.25/3,969.38 = 1,107.25/x
  3. Step 3: Cross multiply
    2,646.25x = 3,969.38 × 1,107.25
  4. Step 4: Simplify right side
    2,646.25x = 4,395,096.01
  5. Step 5: Solve for x
    x = 4,395,096.01/2,646.25
  6. Step 6: Final answer
    x = 1,660.88

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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.