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Finding the Fourth Proportional to 2,955.89, 4,433.91 and 764.61

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Solution

The fourth proportional to 2,955.89, 4,433.91 and 764.61 is: 1,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.89 : 4,433.91 = 764.61 : x
  2. Step 2: Convert to fraction form
    2,955.89/4,433.91 = 764.61/x
  3. Step 3: Cross multiply
    2,955.89x = 4,433.91 × 764.61
  4. Step 4: Simplify right side
    2,955.89x = 3,390,211.93
  5. Step 5: Solve for x
    x = 3,390,211.93/2,955.89
  6. Step 6: Final answer
    x = 1,146.94

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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.