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Finding the Fourth Proportional to 2,206.50, 3,044.97 and 1,378.50

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Solution

The fourth proportional to 2,206.50, 3,044.97 and 1,378.50 is: 1,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.50 : 3,044.97 = 1,378.50 : x
  2. Step 2: Convert to fraction form
    2,206.50/3,044.97 = 1,378.50/x
  3. Step 3: Cross multiply
    2,206.50x = 3,044.97 × 1,378.50
  4. Step 4: Simplify right side
    2,206.50x = 4,197,491.15
  5. Step 5: Solve for x
    x = 4,197,491.15/2,206.50
  6. Step 6: Final answer
    x = 1,902.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.