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Finding the Fourth Proportional to 2,533.08, 3,797.46 and 993.72

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Solution

The fourth proportional to 2,533.08, 3,797.46 and 993.72 is: 1,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.08 : 3,797.46 = 993.72 : x
  2. Step 2: Convert to fraction form
    2,533.08/3,797.46 = 993.72/x
  3. Step 3: Cross multiply
    2,533.08x = 3,797.46 × 993.72
  4. Step 4: Simplify right side
    2,533.08x = 3,773,611.95
  5. Step 5: Solve for x
    x = 3,773,611.95/2,533.08
  6. Step 6: Final answer
    x = 1,489.73

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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.