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Finding the Fourth Proportional to 2,398.78, 3,311.04 and 1,404.28

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Solution

The fourth proportional to 2,398.78, 3,311.04 and 1,404.28 is: 1,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.78 : 3,311.04 = 1,404.28 : x
  2. Step 2: Convert to fraction form
    2,398.78/3,311.04 = 1,404.28/x
  3. Step 3: Cross multiply
    2,398.78x = 3,311.04 × 1,404.28
  4. Step 4: Simplify right side
    2,398.78x = 4,649,627.25
  5. Step 5: Solve for x
    x = 4,649,627.25/2,398.78
  6. Step 6: Final answer
    x = 1,938.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.