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Finding the Fourth Proportional to 2,034.10, 2,806.72 and 1,194.63

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Solution

The fourth proportional to 2,034.10, 2,806.72 and 1,194.63 is: 1,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.10 : 2,806.72 = 1,194.63 : x
  2. Step 2: Convert to fraction form
    2,034.10/2,806.72 = 1,194.63/x
  3. Step 3: Cross multiply
    2,034.10x = 2,806.72 × 1,194.63
  4. Step 4: Simplify right side
    2,034.10x = 3,352,991.91
  5. Step 5: Solve for x
    x = 3,352,991.91/2,034.10
  6. Step 6: Final answer
    x = 1,648.39

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Why These Related Problems?

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