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Finding the Fourth Proportional to 2,954.92, 4,077.90 and 1,628.77

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Solution

The fourth proportional to 2,954.92, 4,077.90 and 1,628.77 is: 2,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.92 : 4,077.90 = 1,628.77 : x
  2. Step 2: Convert to fraction form
    2,954.92/4,077.90 = 1,628.77/x
  3. Step 3: Cross multiply
    2,954.92x = 4,077.90 × 1,628.77
  4. Step 4: Simplify right side
    2,954.92x = 6,641,961.18
  5. Step 5: Solve for x
    x = 6,641,961.18/2,954.92
  6. Step 6: Final answer
    x = 2,247.76

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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.