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Finding the Fourth Proportional to 2,034.50, 2,806.67 and 1,194.94

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Solution

The fourth proportional to 2,034.50, 2,806.67 and 1,194.94 is: 1,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.50 : 2,806.67 = 1,194.94 : x
  2. Step 2: Convert to fraction form
    2,034.50/2,806.67 = 1,194.94/x
  3. Step 3: Cross multiply
    2,034.50x = 2,806.67 × 1,194.94
  4. Step 4: Simplify right side
    2,034.50x = 3,353,802.25
  5. Step 5: Solve for x
    x = 3,353,802.25/2,034.50
  6. Step 6: Final answer
    x = 1,648.47

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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.