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Finding the Fourth Proportional to 3,238.36, 4,468.74 and 1,841

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Solution

The fourth proportional to 3,238.36, 4,468.74 and 1,841 is: 2,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.36 : 4,468.74 = 1,841 : x
  2. Step 2: Convert to fraction form
    3,238.36/4,468.74 = 1,841/x
  3. Step 3: Cross multiply
    3,238.36x = 4,468.74 × 1,841
  4. Step 4: Simplify right side
    3,238.36x = 8,226,950.34
  5. Step 5: Solve for x
    x = 8,226,950.34/3,238.36
  6. Step 6: Final answer
    x = 2,540.47

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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.