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Finding the Fourth Proportional to 2,324.69, 3,208.05 and 1,329.93

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Solution

The fourth proportional to 2,324.69, 3,208.05 and 1,329.93 is: 1,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.69 : 3,208.05 = 1,329.93 : x
  2. Step 2: Convert to fraction form
    2,324.69/3,208.05 = 1,329.93/x
  3. Step 3: Cross multiply
    2,324.69x = 3,208.05 × 1,329.93
  4. Step 4: Simplify right side
    2,324.69x = 4,266,481.94
  5. Step 5: Solve for x
    x = 4,266,481.94/2,324.69
  6. Step 6: Final answer
    x = 1,835.29

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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.