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Finding the Fourth Proportional to 2,464.86, 3,697.11 and 1,231.02

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Solution

The fourth proportional to 2,464.86, 3,697.11 and 1,231.02 is: 1,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.86 : 3,697.11 = 1,231.02 : x
  2. Step 2: Convert to fraction form
    2,464.86/3,697.11 = 1,231.02/x
  3. Step 3: Cross multiply
    2,464.86x = 3,697.11 × 1,231.02
  4. Step 4: Simplify right side
    2,464.86x = 4,551,216.35
  5. Step 5: Solve for x
    x = 4,551,216.35/2,464.86
  6. Step 6: Final answer
    x = 1,846.44

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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.