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Finding the Fourth Proportional to 3,782.78, 5,670.68 and 2,029

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Solution

The fourth proportional to 3,782.78, 5,670.68 and 2,029 is: 3,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.78 : 5,670.68 = 2,029 : x
  2. Step 2: Convert to fraction form
    3,782.78/5,670.68 = 2,029/x
  3. Step 3: Cross multiply
    3,782.78x = 5,670.68 × 2,029
  4. Step 4: Simplify right side
    3,782.78x = 11,505,799.58
  5. Step 5: Solve for x
    x = 11,505,799.58/3,782.78
  6. Step 6: Final answer
    x = 3,041.63

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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.