Home / 2,099.20-3,146.46-928.84

Finding the Fourth Proportional to 2,099.20, 3,146.46 and 928.84

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Solution

The fourth proportional to 2,099.20, 3,146.46 and 928.84 is: 1,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.20 : 3,146.46 = 928.84 : x
  2. Step 2: Convert to fraction form
    2,099.20/3,146.46 = 928.84/x
  3. Step 3: Cross multiply
    2,099.20x = 3,146.46 × 928.84
  4. Step 4: Simplify right side
    2,099.20x = 2,922,557.91
  5. Step 5: Solve for x
    x = 2,922,557.91/2,099.20
  6. Step 6: Final answer
    x = 1,392.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.