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Finding the Fourth Proportional to 2,063.99, 3,093.08 and 1,139.98

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Solution

The fourth proportional to 2,063.99, 3,093.08 and 1,139.98 is: 1,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.99 : 3,093.08 = 1,139.98 : x
  2. Step 2: Convert to fraction form
    2,063.99/3,093.08 = 1,139.98/x
  3. Step 3: Cross multiply
    2,063.99x = 3,093.08 × 1,139.98
  4. Step 4: Simplify right side
    2,063.99x = 3,526,049.34
  5. Step 5: Solve for x
    x = 3,526,049.34/2,063.99
  6. Step 6: Final answer
    x = 1,708.37

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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.