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Finding the Fourth Proportional to 2,375.31, 3,563.22 and 643.94

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Solution

The fourth proportional to 2,375.31, 3,563.22 and 643.94 is: 965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.31 : 3,563.22 = 643.94 : x
  2. Step 2: Convert to fraction form
    2,375.31/3,563.22 = 643.94/x
  3. Step 3: Cross multiply
    2,375.31x = 3,563.22 × 643.94
  4. Step 4: Simplify right side
    2,375.31x = 2,294,499.89
  5. Step 5: Solve for x
    x = 2,294,499.89/2,375.31
  6. Step 6: Final answer
    x = 965.98

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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.