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Finding the Fourth Proportional to 2,096.61, 3,145.37 and 635.87

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Solution

The fourth proportional to 2,096.61, 3,145.37 and 635.87 is: 953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.61 : 3,145.37 = 635.87 : x
  2. Step 2: Convert to fraction form
    2,096.61/3,145.37 = 635.87/x
  3. Step 3: Cross multiply
    2,096.61x = 3,145.37 × 635.87
  4. Step 4: Simplify right side
    2,096.61x = 2,000,043.24
  5. Step 5: Solve for x
    x = 2,000,043.24/2,096.61
  6. Step 6: Final answer
    x = 953.94

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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.