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Finding the Fourth Proportional to 2,556.49, 3,836.21 and 997.57

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Solution

The fourth proportional to 2,556.49, 3,836.21 and 997.57 is: 1,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.49 : 3,836.21 = 997.57 : x
  2. Step 2: Convert to fraction form
    2,556.49/3,836.21 = 997.57/x
  3. Step 3: Cross multiply
    2,556.49x = 3,836.21 × 997.57
  4. Step 4: Simplify right side
    2,556.49x = 3,826,888.01
  5. Step 5: Solve for x
    x = 3,826,888.01/2,556.49
  6. Step 6: Final answer
    x = 1,496.93

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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.