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Finding the Fourth Proportional to 3,180.69, 4,751.49 and 2,295.63

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Solution

The fourth proportional to 3,180.69, 4,751.49 and 2,295.63 is: 3,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.69 : 4,751.49 = 2,295.63 : x
  2. Step 2: Convert to fraction form
    3,180.69/4,751.49 = 2,295.63/x
  3. Step 3: Cross multiply
    3,180.69x = 4,751.49 × 2,295.63
  4. Step 4: Simplify right side
    3,180.69x = 10,907,662.99
  5. Step 5: Solve for x
    x = 10,907,662.99/3,180.69
  6. Step 6: Final answer
    x = 3,429.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.