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Finding the Fourth Proportional to 2,398.44, 3,311.36 and 1,837.87

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Solution

The fourth proportional to 2,398.44, 3,311.36 and 1,837.87 is: 2,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.44 : 3,311.36 = 1,837.87 : x
  2. Step 2: Convert to fraction form
    2,398.44/3,311.36 = 1,837.87/x
  3. Step 3: Cross multiply
    2,398.44x = 3,311.36 × 1,837.87
  4. Step 4: Simplify right side
    2,398.44x = 6,085,849.20
  5. Step 5: Solve for x
    x = 6,085,849.20/2,398.44
  6. Step 6: Final answer
    x = 2,537.42

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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.