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Finding the Fourth Proportional to 2,197.86, 3,296.67 and 811.08

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Solution

The fourth proportional to 2,197.86, 3,296.67 and 811.08 is: 1,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.86 : 3,296.67 = 811.08 : x
  2. Step 2: Convert to fraction form
    2,197.86/3,296.67 = 811.08/x
  3. Step 3: Cross multiply
    2,197.86x = 3,296.67 × 811.08
  4. Step 4: Simplify right side
    2,197.86x = 2,673,866.91
  5. Step 5: Solve for x
    x = 2,673,866.91/2,197.86
  6. Step 6: Final answer
    x = 1,216.58

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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.