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Finding the Fourth Proportional to 2,233.73, 3,349.70 and 673.25

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Solution

The fourth proportional to 2,233.73, 3,349.70 and 673.25 is: 1,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.73 : 3,349.70 = 673.25 : x
  2. Step 2: Convert to fraction form
    2,233.73/3,349.70 = 673.25/x
  3. Step 3: Cross multiply
    2,233.73x = 3,349.70 × 673.25
  4. Step 4: Simplify right side
    2,233.73x = 2,255,182.16
  5. Step 5: Solve for x
    x = 2,255,182.16/2,233.73
  6. Step 6: Final answer
    x = 1,009.60

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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.