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Finding the Fourth Proportional to 2,821.69, 4,229.42 and 2,126.10

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Solution

The fourth proportional to 2,821.69, 4,229.42 and 2,126.10 is: 3,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.69 : 4,229.42 = 2,126.10 : x
  2. Step 2: Convert to fraction form
    2,821.69/4,229.42 = 2,126.10/x
  3. Step 3: Cross multiply
    2,821.69x = 4,229.42 × 2,126.10
  4. Step 4: Simplify right side
    2,821.69x = 8,992,151.30
  5. Step 5: Solve for x
    x = 8,992,151.30/2,821.69
  6. Step 6: Final answer
    x = 3,186.80

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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.