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Finding the Fourth Proportional to 2,106.92, 2,904.04 and 1,930.44

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Solution

The fourth proportional to 2,106.92, 2,904.04 and 1,930.44 is: 2,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.92 : 2,904.04 = 1,930.44 : x
  2. Step 2: Convert to fraction form
    2,106.92/2,904.04 = 1,930.44/x
  3. Step 3: Cross multiply
    2,106.92x = 2,904.04 × 1,930.44
  4. Step 4: Simplify right side
    2,106.92x = 5,606,074.98
  5. Step 5: Solve for x
    x = 5,606,074.98/2,106.92
  6. Step 6: Final answer
    x = 2,660.79

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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.