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Finding the Fourth Proportional to 2,193.40, 3,289.32 and 960.44

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Solution

The fourth proportional to 2,193.40, 3,289.32 and 960.44 is: 1,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.40 : 3,289.32 = 960.44 : x
  2. Step 2: Convert to fraction form
    2,193.40/3,289.32 = 960.44/x
  3. Step 3: Cross multiply
    2,193.40x = 3,289.32 × 960.44
  4. Step 4: Simplify right side
    2,193.40x = 3,159,194.50
  5. Step 5: Solve for x
    x = 3,159,194.50/2,193.40
  6. Step 6: Final answer
    x = 1,440.32

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1.5x scale

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.