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Finding the Fourth Proportional to 2,375.78, 3,564.27 and 914.54

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Solution

The fourth proportional to 2,375.78, 3,564.27 and 914.54 is: 1,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.78 : 3,564.27 = 914.54 : x
  2. Step 2: Convert to fraction form
    2,375.78/3,564.27 = 914.54/x
  3. Step 3: Cross multiply
    2,375.78x = 3,564.27 × 914.54
  4. Step 4: Simplify right side
    2,375.78x = 3,259,649.66
  5. Step 5: Solve for x
    x = 3,259,649.66/2,375.78
  6. Step 6: Final answer
    x = 1,372.04

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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.