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Finding the Fourth Proportional to 2,096.74, 3,145.57 and 636.01

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Solution

The fourth proportional to 2,096.74, 3,145.57 and 636.01 is: 954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.74 : 3,145.57 = 636.01 : x
  2. Step 2: Convert to fraction form
    2,096.74/3,145.57 = 636.01/x
  3. Step 3: Cross multiply
    2,096.74x = 3,145.57 × 636.01
  4. Step 4: Simplify right side
    2,096.74x = 2,000,604.52
  5. Step 5: Solve for x
    x = 2,000,604.52/2,096.74
  6. Step 6: Final answer
    x = 954.15

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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.