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Finding the Fourth Proportional to 3,098.22, 4,617.90 and 2,997

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Solution

The fourth proportional to 3,098.22, 4,617.90 and 2,997 is: 4,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.22 : 4,617.90 = 2,997 : x
  2. Step 2: Convert to fraction form
    3,098.22/4,617.90 = 2,997/x
  3. Step 3: Cross multiply
    3,098.22x = 4,617.90 × 2,997
  4. Step 4: Simplify right side
    3,098.22x = 13,839,846.30
  5. Step 5: Solve for x
    x = 13,839,846.30/3,098.22
  6. Step 6: Final answer
    x = 4,467.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.