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Finding the Fourth Proportional to 2,193.34, 3,289.74 and 960.52

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Solution

The fourth proportional to 2,193.34, 3,289.74 and 960.52 is: 1,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.34 : 3,289.74 = 960.52 : x
  2. Step 2: Convert to fraction form
    2,193.34/3,289.74 = 960.52/x
  3. Step 3: Cross multiply
    2,193.34x = 3,289.74 × 960.52
  4. Step 4: Simplify right side
    2,193.34x = 3,159,861.06
  5. Step 5: Solve for x
    x = 3,159,861.06/2,193.34
  6. Step 6: Final answer
    x = 1,440.66

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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.