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Finding the Fourth Proportional to 2,556.98, 3,833.94 and 913.22

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Solution

The fourth proportional to 2,556.98, 3,833.94 and 913.22 is: 1,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.98 : 3,833.94 = 913.22 : x
  2. Step 2: Convert to fraction form
    2,556.98/3,833.94 = 913.22/x
  3. Step 3: Cross multiply
    2,556.98x = 3,833.94 × 913.22
  4. Step 4: Simplify right side
    2,556.98x = 3,501,230.69
  5. Step 5: Solve for x
    x = 3,501,230.69/2,556.98
  6. Step 6: Final answer
    x = 1,369.28

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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.