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Finding the Fourth Proportional to 2,993.90, 4,493.99 and 1,435.21

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Solution

The fourth proportional to 2,993.90, 4,493.99 and 1,435.21 is: 2,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.90 : 4,493.99 = 1,435.21 : x
  2. Step 2: Convert to fraction form
    2,993.90/4,493.99 = 1,435.21/x
  3. Step 3: Cross multiply
    2,993.90x = 4,493.99 × 1,435.21
  4. Step 4: Simplify right side
    2,993.90x = 6,449,819.39
  5. Step 5: Solve for x
    x = 6,449,819.39/2,993.90
  6. Step 6: Final answer
    x = 2,154.32

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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.