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Finding the Fourth Proportional to 1,673.62, 2,309.56 and 927.52

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Solution

The fourth proportional to 1,673.62, 2,309.56 and 927.52 is: 1,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.62 : 2,309.56 = 927.52 : x
  2. Step 2: Convert to fraction form
    1,673.62/2,309.56 = 927.52/x
  3. Step 3: Cross multiply
    1,673.62x = 2,309.56 × 927.52
  4. Step 4: Simplify right side
    1,673.62x = 2,142,163.09
  5. Step 5: Solve for x
    x = 2,142,163.09/1,673.62
  6. Step 6: Final answer
    x = 1,279.96

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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.