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Finding the Fourth Proportional to 1,334.24, 1,999.16 and 942.33

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Solution

The fourth proportional to 1,334.24, 1,999.16 and 942.33 is: 1,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.24 : 1,999.16 = 942.33 : x
  2. Step 2: Convert to fraction form
    1,334.24/1,999.16 = 942.33/x
  3. Step 3: Cross multiply
    1,334.24x = 1,999.16 × 942.33
  4. Step 4: Simplify right side
    1,334.24x = 1,883,863.73
  5. Step 5: Solve for x
    x = 1,883,863.73/1,334.24
  6. Step 6: Final answer
    x = 1,411.94

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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.