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Finding the Fourth Proportional to 1,232.69, 1,847.19 and 923.06

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Solution

The fourth proportional to 1,232.69, 1,847.19 and 923.06 is: 1,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.69 : 1,847.19 = 923.06 : x
  2. Step 2: Convert to fraction form
    1,232.69/1,847.19 = 923.06/x
  3. Step 3: Cross multiply
    1,232.69x = 1,847.19 × 923.06
  4. Step 4: Simplify right side
    1,232.69x = 1,705,067.20
  5. Step 5: Solve for x
    x = 1,705,067.20/1,232.69
  6. Step 6: Final answer
    x = 1,383.21

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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.