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Finding the Fourth Proportional to 2,464.67, 3,697.38 and 1,003.92

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Solution

The fourth proportional to 2,464.67, 3,697.38 and 1,003.92 is: 1,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.67 : 3,697.38 = 1,003.92 : x
  2. Step 2: Convert to fraction form
    2,464.67/3,697.38 = 1,003.92/x
  3. Step 3: Cross multiply
    2,464.67x = 3,697.38 × 1,003.92
  4. Step 4: Simplify right side
    2,464.67x = 3,711,873.73
  5. Step 5: Solve for x
    x = 3,711,873.73/2,464.67
  6. Step 6: Final answer
    x = 1,506.03

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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.