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Finding the Fourth Proportional to 2,170.90, 3,256.62 and 938.62

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Solution

The fourth proportional to 2,170.90, 3,256.62 and 938.62 is: 1,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.90 : 3,256.62 = 938.62 : x
  2. Step 2: Convert to fraction form
    2,170.90/3,256.62 = 938.62/x
  3. Step 3: Cross multiply
    2,170.90x = 3,256.62 × 938.62
  4. Step 4: Simplify right side
    2,170.90x = 3,056,728.66
  5. Step 5: Solve for x
    x = 3,056,728.66/2,170.90
  6. Step 6: Final answer
    x = 1,408.05

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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.