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Finding the Fourth Proportional to 2,100.30, 3,151.80 and 1,222.80

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Solution

The fourth proportional to 2,100.30, 3,151.80 and 1,222.80 is: 1,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.30 : 3,151.80 = 1,222.80 : x
  2. Step 2: Convert to fraction form
    2,100.30/3,151.80 = 1,222.80/x
  3. Step 3: Cross multiply
    2,100.30x = 3,151.80 × 1,222.80
  4. Step 4: Simplify right side
    2,100.30x = 3,854,021.04
  5. Step 5: Solve for x
    x = 3,854,021.04/2,100.30
  6. Step 6: Final answer
    x = 1,834.99

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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.