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Finding the Fourth Proportional to 2,149.79, 3,223.73 and 1,039.76

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Solution

The fourth proportional to 2,149.79, 3,223.73 and 1,039.76 is: 1,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.79 : 3,223.73 = 1,039.76 : x
  2. Step 2: Convert to fraction form
    2,149.79/3,223.73 = 1,039.76/x
  3. Step 3: Cross multiply
    2,149.79x = 3,223.73 × 1,039.76
  4. Step 4: Simplify right side
    2,149.79x = 3,351,891.99
  5. Step 5: Solve for x
    x = 3,351,891.99/2,149.79
  6. Step 6: Final answer
    x = 1,559.17

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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.