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Finding the Fourth Proportional to 1,837.96, 2,536.30 and 998.64

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Solution

The fourth proportional to 1,837.96, 2,536.30 and 998.64 is: 1,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.96 : 2,536.30 = 998.64 : x
  2. Step 2: Convert to fraction form
    1,837.96/2,536.30 = 998.64/x
  3. Step 3: Cross multiply
    1,837.96x = 2,536.30 × 998.64
  4. Step 4: Simplify right side
    1,837.96x = 2,532,850.63
  5. Step 5: Solve for x
    x = 2,532,850.63/1,837.96
  6. Step 6: Final answer
    x = 1,378.08

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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.