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Finding the Fourth Proportional to 2,997.73, 4,498.40 and 1,266.36

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Solution

The fourth proportional to 2,997.73, 4,498.40 and 1,266.36 is: 1,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.73 : 4,498.40 = 1,266.36 : x
  2. Step 2: Convert to fraction form
    2,997.73/4,498.40 = 1,266.36/x
  3. Step 3: Cross multiply
    2,997.73x = 4,498.40 × 1,266.36
  4. Step 4: Simplify right side
    2,997.73x = 5,696,593.82
  5. Step 5: Solve for x
    x = 5,696,593.82/2,997.73
  6. Step 6: Final answer
    x = 1,900.30

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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.