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Finding the Fourth Proportional to 2,558.11, 3,837.68 and 998.05

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Solution

The fourth proportional to 2,558.11, 3,837.68 and 998.05 is: 1,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.11 : 3,837.68 = 998.05 : x
  2. Step 2: Convert to fraction form
    2,558.11/3,837.68 = 998.05/x
  3. Step 3: Cross multiply
    2,558.11x = 3,837.68 × 998.05
  4. Step 4: Simplify right side
    2,558.11x = 3,830,196.52
  5. Step 5: Solve for x
    x = 3,830,196.52/2,558.11
  6. Step 6: Final answer
    x = 1,497.28

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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.