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Finding the Fourth Proportional to 1,837.33, 2,753.39 and 1,424.54

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Solution

The fourth proportional to 1,837.33, 2,753.39 and 1,424.54 is: 2,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.33 : 2,753.39 = 1,424.54 : x
  2. Step 2: Convert to fraction form
    1,837.33/2,753.39 = 1,424.54/x
  3. Step 3: Cross multiply
    1,837.33x = 2,753.39 × 1,424.54
  4. Step 4: Simplify right side
    1,837.33x = 3,922,324.64
  5. Step 5: Solve for x
    x = 3,922,324.64/1,837.33
  6. Step 6: Final answer
    x = 2,134.80

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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.