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Finding the Fourth Proportional to 2,170.90, 3,257.02 and 938.35

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Solution

The fourth proportional to 2,170.90, 3,257.02 and 938.35 is: 1,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.90 : 3,257.02 = 938.35 : x
  2. Step 2: Convert to fraction form
    2,170.90/3,257.02 = 938.35/x
  3. Step 3: Cross multiply
    2,170.90x = 3,257.02 × 938.35
  4. Step 4: Simplify right side
    2,170.90x = 3,056,224.72
  5. Step 5: Solve for x
    x = 3,056,224.72/2,170.90
  6. Step 6: Final answer
    x = 1,407.81

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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.