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Finding the Fourth Proportional to 2,591.34, 3,887.15 and 643.56

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Solution

The fourth proportional to 2,591.34, 3,887.15 and 643.56 is: 965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.34 : 3,887.15 = 643.56 : x
  2. Step 2: Convert to fraction form
    2,591.34/3,887.15 = 643.56/x
  3. Step 3: Cross multiply
    2,591.34x = 3,887.15 × 643.56
  4. Step 4: Simplify right side
    2,591.34x = 2,501,611.04
  5. Step 5: Solve for x
    x = 2,501,611.04/2,591.34
  6. Step 6: Final answer
    x = 965.37

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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.