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Finding the Fourth Proportional to 2,996.70, 4,135.44 and 1,737.99

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Solution

The fourth proportional to 2,996.70, 4,135.44 and 1,737.99 is: 2,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.70 : 4,135.44 = 1,737.99 : x
  2. Step 2: Convert to fraction form
    2,996.70/4,135.44 = 1,737.99/x
  3. Step 3: Cross multiply
    2,996.70x = 4,135.44 × 1,737.99
  4. Step 4: Simplify right side
    2,996.70x = 7,187,353.37
  5. Step 5: Solve for x
    x = 7,187,353.37/2,996.70
  6. Step 6: Final answer
    x = 2,398.42

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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.