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Finding the Fourth Proportional to 2,511.71, 3,468.22 and 1,629.01

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Solution

The fourth proportional to 2,511.71, 3,468.22 and 1,629.01 is: 2,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.71 : 3,468.22 = 1,629.01 : x
  2. Step 2: Convert to fraction form
    2,511.71/3,468.22 = 1,629.01/x
  3. Step 3: Cross multiply
    2,511.71x = 3,468.22 × 1,629.01
  4. Step 4: Simplify right side
    2,511.71x = 5,649,765.32
  5. Step 5: Solve for x
    x = 5,649,765.32/2,511.71
  6. Step 6: Final answer
    x = 2,249.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.