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Finding the Fourth Proportional to 2,447.69, 3,377.72 and 1,328.60

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Solution

The fourth proportional to 2,447.69, 3,377.72 and 1,328.60 is: 1,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.69 : 3,377.72 = 1,328.60 : x
  2. Step 2: Convert to fraction form
    2,447.69/3,377.72 = 1,328.60/x
  3. Step 3: Cross multiply
    2,447.69x = 3,377.72 × 1,328.60
  4. Step 4: Simplify right side
    2,447.69x = 4,487,625.22
  5. Step 5: Solve for x
    x = 4,487,625.22/2,447.69
  6. Step 6: Final answer
    x = 1,833.41

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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.