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Finding the Fourth Proportional to 1,679.99, 2,519.12 and 754.76

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Solution

The fourth proportional to 1,679.99, 2,519.12 and 754.76 is: 1,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.99 : 2,519.12 = 754.76 : x
  2. Step 2: Convert to fraction form
    1,679.99/2,519.12 = 754.76/x
  3. Step 3: Cross multiply
    1,679.99x = 2,519.12 × 754.76
  4. Step 4: Simplify right side
    1,679.99x = 1,901,331.01
  5. Step 5: Solve for x
    x = 1,901,331.01/1,679.99
  6. Step 6: Final answer
    x = 1,131.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.