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Finding the Fourth Proportional to 3,100.78, 4,648.94 and 1,456.42

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Solution

The fourth proportional to 3,100.78, 4,648.94 and 1,456.42 is: 2,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.78 : 4,648.94 = 1,456.42 : x
  2. Step 2: Convert to fraction form
    3,100.78/4,648.94 = 1,456.42/x
  3. Step 3: Cross multiply
    3,100.78x = 4,648.94 × 1,456.42
  4. Step 4: Simplify right side
    3,100.78x = 6,770,809.19
  5. Step 5: Solve for x
    x = 6,770,809.19/3,100.78
  6. Step 6: Final answer
    x = 2,183.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.