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Finding the Fourth Proportional to 1,945.78, 2,919.26 and 820.58

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Solution

The fourth proportional to 1,945.78, 2,919.26 and 820.58 is: 1,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.78 : 2,919.26 = 820.58 : x
  2. Step 2: Convert to fraction form
    1,945.78/2,919.26 = 820.58/x
  3. Step 3: Cross multiply
    1,945.78x = 2,919.26 × 820.58
  4. Step 4: Simplify right side
    1,945.78x = 2,395,486.37
  5. Step 5: Solve for x
    x = 2,395,486.37/1,945.78
  6. Step 6: Final answer
    x = 1,231.12

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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.