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Finding the Fourth Proportional to 2,618.58, 3,927.91 and 644.21

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Solution

The fourth proportional to 2,618.58, 3,927.91 and 644.21 is: 966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.58 : 3,927.91 = 644.21 : x
  2. Step 2: Convert to fraction form
    2,618.58/3,927.91 = 644.21/x
  3. Step 3: Cross multiply
    2,618.58x = 3,927.91 × 644.21
  4. Step 4: Simplify right side
    2,618.58x = 2,530,385.35
  5. Step 5: Solve for x
    x = 2,530,385.35/2,618.58
  6. Step 6: Final answer
    x = 966.32

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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.