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Finding the Fourth Proportional to 4,093.78, 6,142.23 and 1,630.42

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Solution

The fourth proportional to 4,093.78, 6,142.23 and 1,630.42 is: 2,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.78 : 6,142.23 = 1,630.42 : x
  2. Step 2: Convert to fraction form
    4,093.78/6,142.23 = 1,630.42/x
  3. Step 3: Cross multiply
    4,093.78x = 6,142.23 × 1,630.42
  4. Step 4: Simplify right side
    4,093.78x = 10,014,414.64
  5. Step 5: Solve for x
    x = 10,014,414.64/4,093.78
  6. Step 6: Final answer
    x = 2,446.25

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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.