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Finding the Fourth Proportional to 2,100.05, 3,149.02 and 1,222.84

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Solution

The fourth proportional to 2,100.05, 3,149.02 and 1,222.84 is: 1,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.05 : 3,149.02 = 1,222.84 : x
  2. Step 2: Convert to fraction form
    2,100.05/3,149.02 = 1,222.84/x
  3. Step 3: Cross multiply
    2,100.05x = 3,149.02 × 1,222.84
  4. Step 4: Simplify right side
    2,100.05x = 3,850,725.76
  5. Step 5: Solve for x
    x = 3,850,725.76/2,100.05
  6. Step 6: Final answer
    x = 1,833.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.