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Finding the Fourth Proportional to 3,065.78, 4,229.60 and 1,738.82

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Solution

The fourth proportional to 3,065.78, 4,229.60 and 1,738.82 is: 2,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.78 : 4,229.60 = 1,738.82 : x
  2. Step 2: Convert to fraction form
    3,065.78/4,229.60 = 1,738.82/x
  3. Step 3: Cross multiply
    3,065.78x = 4,229.60 × 1,738.82
  4. Step 4: Simplify right side
    3,065.78x = 7,354,513.07
  5. Step 5: Solve for x
    x = 7,354,513.07/3,065.78
  6. Step 6: Final answer
    x = 2,398.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.