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Finding the Fourth Proportional to 3,113.44, 4,296.06 and 1,786.96

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Solution

The fourth proportional to 3,113.44, 4,296.06 and 1,786.96 is: 2,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.44 : 4,296.06 = 1,786.96 : x
  2. Step 2: Convert to fraction form
    3,113.44/4,296.06 = 1,786.96/x
  3. Step 3: Cross multiply
    3,113.44x = 4,296.06 × 1,786.96
  4. Step 4: Simplify right side
    3,113.44x = 7,676,887.38
  5. Step 5: Solve for x
    x = 7,676,887.38/3,113.44
  6. Step 6: Final answer
    x = 2,465.73

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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.