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Finding the Fourth Proportional to 2,556.59, 3,832.80 and 1,324.36

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Solution

The fourth proportional to 2,556.59, 3,832.80 and 1,324.36 is: 1,985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.59 : 3,832.80 = 1,324.36 : x
  2. Step 2: Convert to fraction form
    2,556.59/3,832.80 = 1,324.36/x
  3. Step 3: Cross multiply
    2,556.59x = 3,832.80 × 1,324.36
  4. Step 4: Simplify right side
    2,556.59x = 5,076,007.01
  5. Step 5: Solve for x
    x = 5,076,007.01/2,556.59
  6. Step 6: Final answer
    x = 1,985.46

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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.