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Finding the Fourth Proportional to 2,199.18, 3,297.97 and 638.76

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Solution

The fourth proportional to 2,199.18, 3,297.97 and 638.76 is: 957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.18 : 3,297.97 = 638.76 : x
  2. Step 2: Convert to fraction form
    2,199.18/3,297.97 = 638.76/x
  3. Step 3: Cross multiply
    2,199.18x = 3,297.97 × 638.76
  4. Step 4: Simplify right side
    2,199.18x = 2,106,608.12
  5. Step 5: Solve for x
    x = 2,106,608.12/2,199.18
  6. Step 6: Final answer
    x = 957.91

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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.