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Finding the Fourth Proportional to 2,912.40, 4,367.78 and 964.34

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Solution

The fourth proportional to 2,912.40, 4,367.78 and 964.34 is: 1,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.40 : 4,367.78 = 964.34 : x
  2. Step 2: Convert to fraction form
    2,912.40/4,367.78 = 964.34/x
  3. Step 3: Cross multiply
    2,912.40x = 4,367.78 × 964.34
  4. Step 4: Simplify right side
    2,912.40x = 4,212,024.97
  5. Step 5: Solve for x
    x = 4,212,024.97/2,912.40
  6. Step 6: Final answer
    x = 1,446.24

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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.