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Finding the Fourth Proportional to 2,993.05, 4,489.57 and 801.72

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Solution

The fourth proportional to 2,993.05, 4,489.57 and 801.72 is: 1,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.05 : 4,489.57 = 801.72 : x
  2. Step 2: Convert to fraction form
    2,993.05/4,489.57 = 801.72/x
  3. Step 3: Cross multiply
    2,993.05x = 4,489.57 × 801.72
  4. Step 4: Simplify right side
    2,993.05x = 3,599,378.06
  5. Step 5: Solve for x
    x = 3,599,378.06/2,993.05
  6. Step 6: Final answer
    x = 1,202.58

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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.