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Finding the Fourth Proportional to 3,076.02, 4,614.02 and 1,843.80

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Solution

The fourth proportional to 3,076.02, 4,614.02 and 1,843.80 is: 2,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.02 : 4,614.02 = 1,843.80 : x
  2. Step 2: Convert to fraction form
    3,076.02/4,614.02 = 1,843.80/x
  3. Step 3: Cross multiply
    3,076.02x = 4,614.02 × 1,843.80
  4. Step 4: Simplify right side
    3,076.02x = 8,507,330.08
  5. Step 5: Solve for x
    x = 8,507,330.08/3,076.02
  6. Step 6: Final answer
    x = 2,765.69

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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.