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Finding the Fourth Proportional to 2,647.36, 3,653.31 and 1,468.41

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Solution

The fourth proportional to 2,647.36, 3,653.31 and 1,468.41 is: 2,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.36 : 3,653.31 = 1,468.41 : x
  2. Step 2: Convert to fraction form
    2,647.36/3,653.31 = 1,468.41/x
  3. Step 3: Cross multiply
    2,647.36x = 3,653.31 × 1,468.41
  4. Step 4: Simplify right side
    2,647.36x = 5,364,556.94
  5. Step 5: Solve for x
    x = 5,364,556.94/2,647.36
  6. Step 6: Final answer
    x = 2,026.38

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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.