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Finding the Fourth Proportional to 2,105.20, 3,156.28 and 643.56

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Solution

The fourth proportional to 2,105.20, 3,156.28 and 643.56 is: 964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.20 : 3,156.28 = 643.56 : x
  2. Step 2: Convert to fraction form
    2,105.20/3,156.28 = 643.56/x
  3. Step 3: Cross multiply
    2,105.20x = 3,156.28 × 643.56
  4. Step 4: Simplify right side
    2,105.20x = 2,031,255.56
  5. Step 5: Solve for x
    x = 2,031,255.56/2,105.20
  6. Step 6: Final answer
    x = 964.88

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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.