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Finding the Fourth Proportional to 2,399.36, 3,311.42 and 1,404.45

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Solution

The fourth proportional to 2,399.36, 3,311.42 and 1,404.45 is: 1,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.36 : 3,311.42 = 1,404.45 : x
  2. Step 2: Convert to fraction form
    2,399.36/3,311.42 = 1,404.45/x
  3. Step 3: Cross multiply
    2,399.36x = 3,311.42 × 1,404.45
  4. Step 4: Simplify right side
    2,399.36x = 4,650,716.80
  5. Step 5: Solve for x
    x = 4,650,716.80/2,399.36
  6. Step 6: Final answer
    x = 1,938.32

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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.