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Finding the Fourth Proportional to 2,143.92, 2,960.00 and 1,919.46

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Solution

The fourth proportional to 2,143.92, 2,960.00 and 1,919.46 is: 2,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.92 : 2,960.00 = 1,919.46 : x
  2. Step 2: Convert to fraction form
    2,143.92/2,960.00 = 1,919.46/x
  3. Step 3: Cross multiply
    2,143.92x = 2,960.00 × 1,919.46
  4. Step 4: Simplify right side
    2,143.92x = 5,681,592.00
  5. Step 5: Solve for x
    x = 5,681,592.00/2,143.92
  6. Step 6: Final answer
    x = 2,650.10

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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.