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Finding the Fourth Proportional to 1,533.92, 2,115.92 and 1,201.84

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Solution

The fourth proportional to 1,533.92, 2,115.92 and 1,201.84 is: 1,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.92 : 2,115.92 = 1,201.84 : x
  2. Step 2: Convert to fraction form
    1,533.92/2,115.92 = 1,201.84/x
  3. Step 3: Cross multiply
    1,533.92x = 2,115.92 × 1,201.84
  4. Step 4: Simplify right side
    1,533.92x = 2,542,997.29
  5. Step 5: Solve for x
    x = 2,542,997.29/1,533.92
  6. Step 6: Final answer
    x = 1,657.84

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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.