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Finding the Fourth Proportional to 3,049.25, 4,206.41 and 1,928.30

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Solution

The fourth proportional to 3,049.25, 4,206.41 and 1,928.30 is: 2,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.25 : 4,206.41 = 1,928.30 : x
  2. Step 2: Convert to fraction form
    3,049.25/4,206.41 = 1,928.30/x
  3. Step 3: Cross multiply
    3,049.25x = 4,206.41 × 1,928.30
  4. Step 4: Simplify right side
    3,049.25x = 8,111,199.37
  5. Step 5: Solve for x
    x = 8,111,199.37/3,049.25
  6. Step 6: Final answer
    x = 2,660.07

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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.