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Finding the Fourth Proportional to 1,922.71, 2,884.07 and 1,100.41

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Solution

The fourth proportional to 1,922.71, 2,884.07 and 1,100.41 is: 1,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.71 : 2,884.07 = 1,100.41 : x
  2. Step 2: Convert to fraction form
    1,922.71/2,884.07 = 1,100.41/x
  3. Step 3: Cross multiply
    1,922.71x = 2,884.07 × 1,100.41
  4. Step 4: Simplify right side
    1,922.71x = 3,173,659.47
  5. Step 5: Solve for x
    x = 3,173,659.47/1,922.71
  6. Step 6: Final answer
    x = 1,650.62

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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.