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Finding the Fourth Proportional to 2,367.69, 3,552.19 and 2,109.48

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Solution

The fourth proportional to 2,367.69, 3,552.19 and 2,109.48 is: 3,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.69 : 3,552.19 = 2,109.48 : x
  2. Step 2: Convert to fraction form
    2,367.69/3,552.19 = 2,109.48/x
  3. Step 3: Cross multiply
    2,367.69x = 3,552.19 × 2,109.48
  4. Step 4: Simplify right side
    2,367.69x = 7,493,256.00
  5. Step 5: Solve for x
    x = 7,493,256.00/2,367.69
  6. Step 6: Final answer
    x = 3,164.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.