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Finding the Fourth Proportional to 2,955.76, 4,433.31 and 764.68

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Solution

The fourth proportional to 2,955.76, 4,433.31 and 764.68 is: 1,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.76 : 4,433.31 = 764.68 : x
  2. Step 2: Convert to fraction form
    2,955.76/4,433.31 = 764.68/x
  3. Step 3: Cross multiply
    2,955.76x = 4,433.31 × 764.68
  4. Step 4: Simplify right side
    2,955.76x = 3,390,063.49
  5. Step 5: Solve for x
    x = 3,390,063.49/2,955.76
  6. Step 6: Final answer
    x = 1,146.93

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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.