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Finding the Fourth Proportional to 3,079, 4,249.02 and 1,837

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Solution

The fourth proportional to 3,079, 4,249.02 and 1,837 is: 2,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079 : 4,249.02 = 1,837 : x
  2. Step 2: Convert to fraction form
    3,079/4,249.02 = 1,837/x
  3. Step 3: Cross multiply
    3,079x = 4,249.02 × 1,837
  4. Step 4: Simplify right side
    3,079x = 7,805,449.74
  5. Step 5: Solve for x
    x = 7,805,449.74/3,079
  6. Step 6: Final answer
    x = 2,535.06

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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.