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Finding the Fourth Proportional to 2,059.54, 3,089.30 and 673.82

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Solution

The fourth proportional to 2,059.54, 3,089.30 and 673.82 is: 1,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.54 : 3,089.30 = 673.82 : x
  2. Step 2: Convert to fraction form
    2,059.54/3,089.30 = 673.82/x
  3. Step 3: Cross multiply
    2,059.54x = 3,089.30 × 673.82
  4. Step 4: Simplify right side
    2,059.54x = 2,081,632.13
  5. Step 5: Solve for x
    x = 2,081,632.13/2,059.54
  6. Step 6: Final answer
    x = 1,010.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.