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Finding the Fourth Proportional to 2,997.80, 4,137.23 and 1,738.95

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Solution

The fourth proportional to 2,997.80, 4,137.23 and 1,738.95 is: 2,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.80 : 4,137.23 = 1,738.95 : x
  2. Step 2: Convert to fraction form
    2,997.80/4,137.23 = 1,738.95/x
  3. Step 3: Cross multiply
    2,997.80x = 4,137.23 × 1,738.95
  4. Step 4: Simplify right side
    2,997.80x = 7,194,427.41
  5. Step 5: Solve for x
    x = 7,194,427.41/2,997.80
  6. Step 6: Final answer
    x = 2,399.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.