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Finding the Fourth Proportional to 2,996.99, 4,135.89 and 1,738.12

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Solution

The fourth proportional to 2,996.99, 4,135.89 and 1,738.12 is: 2,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.99 : 4,135.89 = 1,738.12 : x
  2. Step 2: Convert to fraction form
    2,996.99/4,135.89 = 1,738.12/x
  3. Step 3: Cross multiply
    2,996.99x = 4,135.89 × 1,738.12
  4. Step 4: Simplify right side
    2,996.99x = 7,188,673.13
  5. Step 5: Solve for x
    x = 7,188,673.13/2,996.99
  6. Step 6: Final answer
    x = 2,398.63

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1.5x scale

Why These Related Problems?

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