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Finding the Fourth Proportional to 2,144.17, 2,960.34 and 1,919.71

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Solution

The fourth proportional to 2,144.17, 2,960.34 and 1,919.71 is: 2,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.17 : 2,960.34 = 1,919.71 : x
  2. Step 2: Convert to fraction form
    2,144.17/2,960.34 = 1,919.71/x
  3. Step 3: Cross multiply
    2,144.17x = 2,960.34 × 1,919.71
  4. Step 4: Simplify right side
    2,144.17x = 5,682,994.30
  5. Step 5: Solve for x
    x = 5,682,994.30/2,144.17
  6. Step 6: Final answer
    x = 2,650.44

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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.