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Finding the Fourth Proportional to 1,691.38, 2,536.11 and 1,343.69

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Solution

The fourth proportional to 1,691.38, 2,536.11 and 1,343.69 is: 2,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.38 : 2,536.11 = 1,343.69 : x
  2. Step 2: Convert to fraction form
    1,691.38/2,536.11 = 1,343.69/x
  3. Step 3: Cross multiply
    1,691.38x = 2,536.11 × 1,343.69
  4. Step 4: Simplify right side
    1,691.38x = 3,407,742.48
  5. Step 5: Solve for x
    x = 3,407,742.48/1,691.38
  6. Step 6: Final answer
    x = 2,014.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.