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Finding the Fourth Proportional to 3,003.38, 4,505.38 and 923.36

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Solution

The fourth proportional to 3,003.38, 4,505.38 and 923.36 is: 1,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.38 : 4,505.38 = 923.36 : x
  2. Step 2: Convert to fraction form
    3,003.38/4,505.38 = 923.36/x
  3. Step 3: Cross multiply
    3,003.38x = 4,505.38 × 923.36
  4. Step 4: Simplify right side
    3,003.38x = 4,160,087.68
  5. Step 5: Solve for x
    x = 4,160,087.68/3,003.38
  6. Step 6: Final answer
    x = 1,385.14

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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.