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Finding the Fourth Proportional to 2,310.60, 3,202.02 and 2,266.84

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Solution

The fourth proportional to 2,310.60, 3,202.02 and 2,266.84 is: 3,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.60 : 3,202.02 = 2,266.84 : x
  2. Step 2: Convert to fraction form
    2,310.60/3,202.02 = 2,266.84/x
  3. Step 3: Cross multiply
    2,310.60x = 3,202.02 × 2,266.84
  4. Step 4: Simplify right side
    2,310.60x = 7,258,467.02
  5. Step 5: Solve for x
    x = 7,258,467.02/2,310.60
  6. Step 6: Final answer
    x = 3,141.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.