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Finding the Fourth Proportional to 2,852.53, 3,936.44 and 1,593.50

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Solution

The fourth proportional to 2,852.53, 3,936.44 and 1,593.50 is: 2,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.53 : 3,936.44 = 1,593.50 : x
  2. Step 2: Convert to fraction form
    2,852.53/3,936.44 = 1,593.50/x
  3. Step 3: Cross multiply
    2,852.53x = 3,936.44 × 1,593.50
  4. Step 4: Simplify right side
    2,852.53x = 6,272,709.17
  5. Step 5: Solve for x
    x = 6,272,709.17/2,852.53
  6. Step 6: Final answer
    x = 2,199.00

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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.