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Finding the Fourth Proportional to 3,003.34, 4,504.64 and 923.33

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Solution

The fourth proportional to 3,003.34, 4,504.64 and 923.33 is: 1,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.34 : 4,504.64 = 923.33 : x
  2. Step 2: Convert to fraction form
    3,003.34/4,504.64 = 923.33/x
  3. Step 3: Cross multiply
    3,003.34x = 4,504.64 × 923.33
  4. Step 4: Simplify right side
    3,003.34x = 4,159,269.25
  5. Step 5: Solve for x
    x = 4,159,269.25/3,003.34
  6. Step 6: Final answer
    x = 1,384.88

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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.