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Finding the Fourth Proportional to 2,643.25, 3,647.68 and 1,448.31

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Solution

The fourth proportional to 2,643.25, 3,647.68 and 1,448.31 is: 1,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.25 : 3,647.68 = 1,448.31 : x
  2. Step 2: Convert to fraction form
    2,643.25/3,647.68 = 1,448.31/x
  3. Step 3: Cross multiply
    2,643.25x = 3,647.68 × 1,448.31
  4. Step 4: Simplify right side
    2,643.25x = 5,282,963.68
  5. Step 5: Solve for x
    x = 5,282,963.68/2,643.25
  6. Step 6: Final answer
    x = 1,998.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.