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Finding the Fourth Proportional to 2,467.96, 3,699.78 and 1,234.12

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Solution

The fourth proportional to 2,467.96, 3,699.78 and 1,234.12 is: 1,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.96 : 3,699.78 = 1,234.12 : x
  2. Step 2: Convert to fraction form
    2,467.96/3,699.78 = 1,234.12/x
  3. Step 3: Cross multiply
    2,467.96x = 3,699.78 × 1,234.12
  4. Step 4: Simplify right side
    2,467.96x = 4,565,972.49
  5. Step 5: Solve for x
    x = 4,565,972.49/2,467.96
  6. Step 6: Final answer
    x = 1,850.10

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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.