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Finding the Fourth Proportional to 2,852.61, 3,936.14 and 1,593.45

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Solution

The fourth proportional to 2,852.61, 3,936.14 and 1,593.45 is: 2,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.61 : 3,936.14 = 1,593.45 : x
  2. Step 2: Convert to fraction form
    2,852.61/3,936.14 = 1,593.45/x
  3. Step 3: Cross multiply
    2,852.61x = 3,936.14 × 1,593.45
  4. Step 4: Simplify right side
    2,852.61x = 6,272,063.09
  5. Step 5: Solve for x
    x = 6,272,063.09/2,852.61
  6. Step 6: Final answer
    x = 2,198.71

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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.