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Finding the Fourth Proportional to 2,195.69, 3,293.51 and 1,100.03

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Solution

The fourth proportional to 2,195.69, 3,293.51 and 1,100.03 is: 1,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.69 : 3,293.51 = 1,100.03 : x
  2. Step 2: Convert to fraction form
    2,195.69/3,293.51 = 1,100.03/x
  3. Step 3: Cross multiply
    2,195.69x = 3,293.51 × 1,100.03
  4. Step 4: Simplify right side
    2,195.69x = 3,622,970.79
  5. Step 5: Solve for x
    x = 3,622,970.79/2,195.69
  6. Step 6: Final answer
    x = 1,650.04

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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.