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Finding the Fourth Proportional to 1,366.20, 1,883.87 and 923.33

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Solution

The fourth proportional to 1,366.20, 1,883.87 and 923.33 is: 1,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.20 : 1,883.87 = 923.33 : x
  2. Step 2: Convert to fraction form
    1,366.20/1,883.87 = 923.33/x
  3. Step 3: Cross multiply
    1,366.20x = 1,883.87 × 923.33
  4. Step 4: Simplify right side
    1,366.20x = 1,739,433.69
  5. Step 5: Solve for x
    x = 1,739,433.69/1,366.20
  6. Step 6: Final answer
    x = 1,273.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.