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Finding the Fourth Proportional to 2,171.02, 3,255.70 and 938.33

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Solution

The fourth proportional to 2,171.02, 3,255.70 and 938.33 is: 1,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.02 : 3,255.70 = 938.33 : x
  2. Step 2: Convert to fraction form
    2,171.02/3,255.70 = 938.33/x
  3. Step 3: Cross multiply
    2,171.02x = 3,255.70 × 938.33
  4. Step 4: Simplify right side
    2,171.02x = 3,054,920.98
  5. Step 5: Solve for x
    x = 3,054,920.98/2,171.02
  6. Step 6: Final answer
    x = 1,407.14

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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.