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Finding the Fourth Proportional to 1,837.72, 2,536.08 and 998.42

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Solution

The fourth proportional to 1,837.72, 2,536.08 and 998.42 is: 1,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.72 : 2,536.08 = 998.42 : x
  2. Step 2: Convert to fraction form
    1,837.72/2,536.08 = 998.42/x
  3. Step 3: Cross multiply
    1,837.72x = 2,536.08 × 998.42
  4. Step 4: Simplify right side
    1,837.72x = 2,532,079.33
  5. Step 5: Solve for x
    x = 2,532,079.33/1,837.72
  6. Step 6: Final answer
    x = 1,377.84

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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.