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Finding the Fourth Proportional to 2,272.69, 3,406.58 and 1,100.22

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Solution

The fourth proportional to 2,272.69, 3,406.58 and 1,100.22 is: 1,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.69 : 3,406.58 = 1,100.22 : x
  2. Step 2: Convert to fraction form
    2,272.69/3,406.58 = 1,100.22/x
  3. Step 3: Cross multiply
    2,272.69x = 3,406.58 × 1,100.22
  4. Step 4: Simplify right side
    2,272.69x = 3,747,970.41
  5. Step 5: Solve for x
    x = 3,747,970.41/2,272.69
  6. Step 6: Final answer
    x = 1,649.13

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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.