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Finding the Fourth Proportional to 1,805.21, 2,709.23 and 927.68

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Solution

The fourth proportional to 1,805.21, 2,709.23 and 927.68 is: 1,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.21 : 2,709.23 = 927.68 : x
  2. Step 2: Convert to fraction form
    1,805.21/2,709.23 = 927.68/x
  3. Step 3: Cross multiply
    1,805.21x = 2,709.23 × 927.68
  4. Step 4: Simplify right side
    1,805.21x = 2,513,284.94
  5. Step 5: Solve for x
    x = 2,513,284.94/1,805.21
  6. Step 6: Final answer
    x = 1,392.24

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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.