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Finding the Fourth Proportional to 2,955.72, 4,433.40 and 764.56

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Solution

The fourth proportional to 2,955.72, 4,433.40 and 764.56 is: 1,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.72 : 4,433.40 = 764.56 : x
  2. Step 2: Convert to fraction form
    2,955.72/4,433.40 = 764.56/x
  3. Step 3: Cross multiply
    2,955.72x = 4,433.40 × 764.56
  4. Step 4: Simplify right side
    2,955.72x = 3,389,600.30
  5. Step 5: Solve for x
    x = 3,389,600.30/2,955.72
  6. Step 6: Final answer
    x = 1,146.79

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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.