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Finding the Fourth Proportional to 2,096.34, 3,143.90 and 635.50

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Solution

The fourth proportional to 2,096.34, 3,143.90 and 635.50 is: 953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.34 : 3,143.90 = 635.50 : x
  2. Step 2: Convert to fraction form
    2,096.34/3,143.90 = 635.50/x
  3. Step 3: Cross multiply
    2,096.34x = 3,143.90 × 635.50
  4. Step 4: Simplify right side
    2,096.34x = 1,997,948.45
  5. Step 5: Solve for x
    x = 1,997,948.45/2,096.34
  6. Step 6: Final answer
    x = 953.07

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Why These Related Problems?

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