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Finding the Fourth Proportional to 2,556.53, 3,832.41 and 997.55

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Solution

The fourth proportional to 2,556.53, 3,832.41 and 997.55 is: 1,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.53 : 3,832.41 = 997.55 : x
  2. Step 2: Convert to fraction form
    2,556.53/3,832.41 = 997.55/x
  3. Step 3: Cross multiply
    2,556.53x = 3,832.41 × 997.55
  4. Step 4: Simplify right side
    2,556.53x = 3,823,020.60
  5. Step 5: Solve for x
    x = 3,823,020.60/2,556.53
  6. Step 6: Final answer
    x = 1,495.39

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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.