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Finding the Fourth Proportional to 2,852.54, 3,936.62 and 1,657.52

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Solution

The fourth proportional to 2,852.54, 3,936.62 and 1,657.52 is: 2,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.54 : 3,936.62 = 1,657.52 : x
  2. Step 2: Convert to fraction form
    2,852.54/3,936.62 = 1,657.52/x
  3. Step 3: Cross multiply
    2,852.54x = 3,936.62 × 1,657.52
  4. Step 4: Simplify right side
    2,852.54x = 6,524,998.41
  5. Step 5: Solve for x
    x = 6,524,998.41/2,852.54
  6. Step 6: Final answer
    x = 2,287.44

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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.