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Finding the Fourth Proportional to 2,852.71, 3,936.60 and 1,593.74

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Solution

The fourth proportional to 2,852.71, 3,936.60 and 1,593.74 is: 2,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.71 : 3,936.60 = 1,593.74 : x
  2. Step 2: Convert to fraction form
    2,852.71/3,936.60 = 1,593.74/x
  3. Step 3: Cross multiply
    2,852.71x = 3,936.60 × 1,593.74
  4. Step 4: Simplify right side
    2,852.71x = 6,273,926.73
  5. Step 5: Solve for x
    x = 6,273,926.73/2,852.71
  6. Step 6: Final answer
    x = 2,199.29

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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.