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Finding the Fourth Proportional to 2,099.42, 3,149.15 and 638.58

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Solution

The fourth proportional to 2,099.42, 3,149.15 and 638.58 is: 957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.42 : 3,149.15 = 638.58 : x
  2. Step 2: Convert to fraction form
    2,099.42/3,149.15 = 638.58/x
  3. Step 3: Cross multiply
    2,099.42x = 3,149.15 × 638.58
  4. Step 4: Simplify right side
    2,099.42x = 2,010,992.82
  5. Step 5: Solve for x
    x = 2,010,992.82/2,099.42
  6. Step 6: Final answer
    x = 957.88

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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.