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Finding the Fourth Proportional to 1,691.26, 2,335.53 and 1,599.22

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Solution

The fourth proportional to 1,691.26, 2,335.53 and 1,599.22 is: 2,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.26 : 2,335.53 = 1,599.22 : x
  2. Step 2: Convert to fraction form
    1,691.26/2,335.53 = 1,599.22/x
  3. Step 3: Cross multiply
    1,691.26x = 2,335.53 × 1,599.22
  4. Step 4: Simplify right side
    1,691.26x = 3,735,026.29
  5. Step 5: Solve for x
    x = 3,735,026.29/1,691.26
  6. Step 6: Final answer
    x = 2,208.43

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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.