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Finding the Fourth Proportional to 2,105.56, 3,158.36 and 644.72

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Solution

The fourth proportional to 2,105.56, 3,158.36 and 644.72 is: 967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.56 : 3,158.36 = 644.72 : x
  2. Step 2: Convert to fraction form
    2,105.56/3,158.36 = 644.72/x
  3. Step 3: Cross multiply
    2,105.56x = 3,158.36 × 644.72
  4. Step 4: Simplify right side
    2,105.56x = 2,036,257.86
  5. Step 5: Solve for x
    x = 2,036,257.86/2,105.56
  6. Step 6: Final answer
    x = 967.09

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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.