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Finding the Fourth Proportional to 2,268.25, 3,401.98 and 602.39

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Solution

The fourth proportional to 2,268.25, 3,401.98 and 602.39 is: 903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.25 : 3,401.98 = 602.39 : x
  2. Step 2: Convert to fraction form
    2,268.25/3,401.98 = 602.39/x
  3. Step 3: Cross multiply
    2,268.25x = 3,401.98 × 602.39
  4. Step 4: Simplify right side
    2,268.25x = 2,049,318.73
  5. Step 5: Solve for x
    x = 2,049,318.73/2,268.25
  6. Step 6: Final answer
    x = 903.48

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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.