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Finding the Fourth Proportional to 2,919.47, 4,028.90 and 1,593.17

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Solution

The fourth proportional to 2,919.47, 4,028.90 and 1,593.17 is: 2,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.47 : 4,028.90 = 1,593.17 : x
  2. Step 2: Convert to fraction form
    2,919.47/4,028.90 = 1,593.17/x
  3. Step 3: Cross multiply
    2,919.47x = 4,028.90 × 1,593.17
  4. Step 4: Simplify right side
    2,919.47x = 6,418,722.61
  5. Step 5: Solve for x
    x = 6,418,722.61/2,919.47
  6. Step 6: Final answer
    x = 2,198.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.