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Finding the Fourth Proportional to 2,044.72, 2,806.58 and 1,935.37

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Solution

The fourth proportional to 2,044.72, 2,806.58 and 1,935.37 is: 2,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.72 : 2,806.58 = 1,935.37 : x
  2. Step 2: Convert to fraction form
    2,044.72/2,806.58 = 1,935.37/x
  3. Step 3: Cross multiply
    2,044.72x = 2,806.58 × 1,935.37
  4. Step 4: Simplify right side
    2,044.72x = 5,431,770.73
  5. Step 5: Solve for x
    x = 5,431,770.73/2,044.72
  6. Step 6: Final answer
    x = 2,656.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.