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Finding the Fourth Proportional to 2,388.96, 3,296.75 and 1,341

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Solution

The fourth proportional to 2,388.96, 3,296.75 and 1,341 is: 1,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.96 : 3,296.75 = 1,341 : x
  2. Step 2: Convert to fraction form
    2,388.96/3,296.75 = 1,341/x
  3. Step 3: Cross multiply
    2,388.96x = 3,296.75 × 1,341
  4. Step 4: Simplify right side
    2,388.96x = 4,420,935.05
  5. Step 5: Solve for x
    x = 4,420,935.05/2,388.96
  6. Step 6: Final answer
    x = 1,850.57

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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.