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Finding the Fourth Proportional to 1,942.56, 2,913.96 and 644.20

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Solution

The fourth proportional to 1,942.56, 2,913.96 and 644.20 is: 966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.56 : 2,913.96 = 644.20 : x
  2. Step 2: Convert to fraction form
    1,942.56/2,913.96 = 644.20/x
  3. Step 3: Cross multiply
    1,942.56x = 2,913.96 × 644.20
  4. Step 4: Simplify right side
    1,942.56x = 1,877,173.03
  5. Step 5: Solve for x
    x = 1,877,173.03/1,942.56
  6. Step 6: Final answer
    x = 966.34

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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.