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Finding the Fourth Proportional to 2,197.30, 3,295.94 and 897.86

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Solution

The fourth proportional to 2,197.30, 3,295.94 and 897.86 is: 1,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.30 : 3,295.94 = 897.86 : x
  2. Step 2: Convert to fraction form
    2,197.30/3,295.94 = 897.86/x
  3. Step 3: Cross multiply
    2,197.30x = 3,295.94 × 897.86
  4. Step 4: Simplify right side
    2,197.30x = 2,959,292.69
  5. Step 5: Solve for x
    x = 2,959,292.69/2,197.30
  6. Step 6: Final answer
    x = 1,346.79

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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.