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Finding the Fourth Proportional to 1,333.87, 1,995.79 and 923.81

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Solution

The fourth proportional to 1,333.87, 1,995.79 and 923.81 is: 1,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.87 : 1,995.79 = 923.81 : x
  2. Step 2: Convert to fraction form
    1,333.87/1,995.79 = 923.81/x
  3. Step 3: Cross multiply
    1,333.87x = 1,995.79 × 923.81
  4. Step 4: Simplify right side
    1,333.87x = 1,843,720.20
  5. Step 5: Solve for x
    x = 1,843,720.20/1,333.87
  6. Step 6: Final answer
    x = 1,382.24

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