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Finding the Fourth Proportional to 2,912.76, 4,369.56 and 964.53

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Solution

The fourth proportional to 2,912.76, 4,369.56 and 964.53 is: 1,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.76 : 4,369.56 = 964.53 : x
  2. Step 2: Convert to fraction form
    2,912.76/4,369.56 = 964.53/x
  3. Step 3: Cross multiply
    2,912.76x = 4,369.56 × 964.53
  4. Step 4: Simplify right side
    2,912.76x = 4,214,571.71
  5. Step 5: Solve for x
    x = 4,214,571.71/2,912.76
  6. Step 6: Final answer
    x = 1,446.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.