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Finding the Fourth Proportional to 2,106.69, 3,172.65 and 1,919.85

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Solution

The fourth proportional to 2,106.69, 3,172.65 and 1,919.85 is: 2,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.69 : 3,172.65 = 1,919.85 : x
  2. Step 2: Convert to fraction form
    2,106.69/3,172.65 = 1,919.85/x
  3. Step 3: Cross multiply
    2,106.69x = 3,172.65 × 1,919.85
  4. Step 4: Simplify right side
    2,106.69x = 6,091,012.10
  5. Step 5: Solve for x
    x = 6,091,012.10/2,106.69
  6. Step 6: Final answer
    x = 2,891.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.