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Finding the Fourth Proportional to 2,187.05, 3,277.83 and 1,722.99

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Solution

The fourth proportional to 2,187.05, 3,277.83 and 1,722.99 is: 2,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.05 : 3,277.83 = 1,722.99 : x
  2. Step 2: Convert to fraction form
    2,187.05/3,277.83 = 1,722.99/x
  3. Step 3: Cross multiply
    2,187.05x = 3,277.83 × 1,722.99
  4. Step 4: Simplify right side
    2,187.05x = 5,647,668.31
  5. Step 5: Solve for x
    x = 5,647,668.31/2,187.05
  6. Step 6: Final answer
    x = 2,582.32

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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.