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Finding the Fourth Proportional to 1,597.26, 2,206.26 and 1,221.96

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Solution

The fourth proportional to 1,597.26, 2,206.26 and 1,221.96 is: 1,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.26 : 2,206.26 = 1,221.96 : x
  2. Step 2: Convert to fraction form
    1,597.26/2,206.26 = 1,221.96/x
  3. Step 3: Cross multiply
    1,597.26x = 2,206.26 × 1,221.96
  4. Step 4: Simplify right side
    1,597.26x = 2,695,961.47
  5. Step 5: Solve for x
    x = 2,695,961.47/1,597.26
  6. Step 6: Final answer
    x = 1,687.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.