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Finding the Fourth Proportional to 2,556.97, 3,832.72 and 1,323.14

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Solution

The fourth proportional to 2,556.97, 3,832.72 and 1,323.14 is: 1,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.97 : 3,832.72 = 1,323.14 : x
  2. Step 2: Convert to fraction form
    2,556.97/3,832.72 = 1,323.14/x
  3. Step 3: Cross multiply
    2,556.97x = 3,832.72 × 1,323.14
  4. Step 4: Simplify right side
    2,556.97x = 5,071,225.14
  5. Step 5: Solve for x
    x = 5,071,225.14/2,556.97
  6. Step 6: Final answer
    x = 1,983.29

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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.