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Finding the Fourth Proportional to 2,197.41, 3,296.16 and 810.87

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Solution

The fourth proportional to 2,197.41, 3,296.16 and 810.87 is: 1,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.41 : 3,296.16 = 810.87 : x
  2. Step 2: Convert to fraction form
    2,197.41/3,296.16 = 810.87/x
  3. Step 3: Cross multiply
    2,197.41x = 3,296.16 × 810.87
  4. Step 4: Simplify right side
    2,197.41x = 2,672,757.26
  5. Step 5: Solve for x
    x = 2,672,757.26/2,197.41
  6. Step 6: Final answer
    x = 1,216.32

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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.