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Finding the Fourth Proportional to 1,369.68, 2,065.38 and 1,343.76

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Solution

The fourth proportional to 1,369.68, 2,065.38 and 1,343.76 is: 2,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.68 : 2,065.38 = 1,343.76 : x
  2. Step 2: Convert to fraction form
    1,369.68/2,065.38 = 1,343.76/x
  3. Step 3: Cross multiply
    1,369.68x = 2,065.38 × 1,343.76
  4. Step 4: Simplify right side
    1,369.68x = 2,775,375.03
  5. Step 5: Solve for x
    x = 2,775,375.03/1,369.68
  6. Step 6: Final answer
    x = 2,026.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.