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Finding the Fourth Proportional to 2,997.98, 4,496.10 and 1,148.95

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Solution

The fourth proportional to 2,997.98, 4,496.10 and 1,148.95 is: 1,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.98 : 4,496.10 = 1,148.95 : x
  2. Step 2: Convert to fraction form
    2,997.98/4,496.10 = 1,148.95/x
  3. Step 3: Cross multiply
    2,997.98x = 4,496.10 × 1,148.95
  4. Step 4: Simplify right side
    2,997.98x = 5,165,794.10
  5. Step 5: Solve for x
    x = 5,165,794.10/2,997.98
  6. Step 6: Final answer
    x = 1,723.09

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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.