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Finding the Fourth Proportional to 3,019.26, 4,165.34 and 1,839.90

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Solution

The fourth proportional to 3,019.26, 4,165.34 and 1,839.90 is: 2,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.26 : 4,165.34 = 1,839.90 : x
  2. Step 2: Convert to fraction form
    3,019.26/4,165.34 = 1,839.90/x
  3. Step 3: Cross multiply
    3,019.26x = 4,165.34 × 1,839.90
  4. Step 4: Simplify right side
    3,019.26x = 7,663,799.87
  5. Step 5: Solve for x
    x = 7,663,799.87/3,019.26
  6. Step 6: Final answer
    x = 2,538.30

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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.