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Finding the Fourth Proportional to 2,104.14, 3,155.96 and 644.30

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Solution

The fourth proportional to 2,104.14, 3,155.96 and 644.30 is: 966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.14 : 3,155.96 = 644.30 : x
  2. Step 2: Convert to fraction form
    2,104.14/3,155.96 = 644.30/x
  3. Step 3: Cross multiply
    2,104.14x = 3,155.96 × 644.30
  4. Step 4: Simplify right side
    2,104.14x = 2,033,385.03
  5. Step 5: Solve for x
    x = 2,033,385.03/2,104.14
  6. Step 6: Final answer
    x = 966.37

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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.