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Finding the Fourth Proportional to 2,230.08, 3,351.12 and 1,902.08

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Solution

The fourth proportional to 2,230.08, 3,351.12 and 1,902.08 is: 2,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.08 : 3,351.12 = 1,902.08 : x
  2. Step 2: Convert to fraction form
    2,230.08/3,351.12 = 1,902.08/x
  3. Step 3: Cross multiply
    2,230.08x = 3,351.12 × 1,902.08
  4. Step 4: Simplify right side
    2,230.08x = 6,374,098.33
  5. Step 5: Solve for x
    x = 6,374,098.33/2,230.08
  6. Step 6: Final answer
    x = 2,858.24

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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.