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Finding the Fourth Proportional to 3,076.92, 4,614.24 and 1,102.02

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Solution

The fourth proportional to 3,076.92, 4,614.24 and 1,102.02 is: 1,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.92 : 4,614.24 = 1,102.02 : x
  2. Step 2: Convert to fraction form
    3,076.92/4,614.24 = 1,102.02/x
  3. Step 3: Cross multiply
    3,076.92x = 4,614.24 × 1,102.02
  4. Step 4: Simplify right side
    3,076.92x = 5,084,984.76
  5. Step 5: Solve for x
    x = 5,084,984.76/3,076.92
  6. Step 6: Final answer
    x = 1,652.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.