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Finding the Fourth Proportional to 3,055, 4,576.02 and 2,884.60

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Solution

The fourth proportional to 3,055, 4,576.02 and 2,884.60 is: 4,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055 : 4,576.02 = 2,884.60 : x
  2. Step 2: Convert to fraction form
    3,055/4,576.02 = 2,884.60/x
  3. Step 3: Cross multiply
    3,055x = 4,576.02 × 2,884.60
  4. Step 4: Simplify right side
    3,055x = 13,199,987.29
  5. Step 5: Solve for x
    x = 13,199,987.29/3,055
  6. Step 6: Final answer
    x = 4,320.78

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Why These Related Problems?

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