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Finding the Fourth Proportional to 2,233.38, 3,350.03 and 673.40

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Solution

The fourth proportional to 2,233.38, 3,350.03 and 673.40 is: 1,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.38 : 3,350.03 = 673.40 : x
  2. Step 2: Convert to fraction form
    2,233.38/3,350.03 = 673.40/x
  3. Step 3: Cross multiply
    2,233.38x = 3,350.03 × 673.40
  4. Step 4: Simplify right side
    2,233.38x = 2,255,890.08
  5. Step 5: Solve for x
    x = 2,255,890.08/2,233.38
  6. Step 6: Final answer
    x = 1,010.08

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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.