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Finding the Fourth Proportional to 2,964.88, 4,446.88 and 773.76

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Solution

The fourth proportional to 2,964.88, 4,446.88 and 773.76 is: 1,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.88 : 4,446.88 = 773.76 : x
  2. Step 2: Convert to fraction form
    2,964.88/4,446.88 = 773.76/x
  3. Step 3: Cross multiply
    2,964.88x = 4,446.88 × 773.76
  4. Step 4: Simplify right side
    2,964.88x = 3,440,817.87
  5. Step 5: Solve for x
    x = 3,440,817.87/2,964.88
  6. Step 6: Final answer
    x = 1,160.53

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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.