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Finding the Fourth Proportional to 2,852.67, 3,936.74 and 1,593.66

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Solution

The fourth proportional to 2,852.67, 3,936.74 and 1,593.66 is: 2,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.67 : 3,936.74 = 1,593.66 : x
  2. Step 2: Convert to fraction form
    2,852.67/3,936.74 = 1,593.66/x
  3. Step 3: Cross multiply
    2,852.67x = 3,936.74 × 1,593.66
  4. Step 4: Simplify right side
    2,852.67x = 6,273,817.10
  5. Step 5: Solve for x
    x = 6,273,817.10/2,852.67
  6. Step 6: Final answer
    x = 2,199.28

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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.