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Finding the Fourth Proportional to 2,852.25, 3,936.06 and 1,593.32

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Solution

The fourth proportional to 2,852.25, 3,936.06 and 1,593.32 is: 2,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.25 : 3,936.06 = 1,593.32 : x
  2. Step 2: Convert to fraction form
    2,852.25/3,936.06 = 1,593.32/x
  3. Step 3: Cross multiply
    2,852.25x = 3,936.06 × 1,593.32
  4. Step 4: Simplify right side
    2,852.25x = 6,271,387.30
  5. Step 5: Solve for x
    x = 6,271,387.30/2,852.25
  6. Step 6: Final answer
    x = 2,198.75

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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.