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Finding the Fourth Proportional to 2,170.26, 2,992.75 and 1,423.44

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Solution

The fourth proportional to 2,170.26, 2,992.75 and 1,423.44 is: 1,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.26 : 2,992.75 = 1,423.44 : x
  2. Step 2: Convert to fraction form
    2,170.26/2,992.75 = 1,423.44/x
  3. Step 3: Cross multiply
    2,170.26x = 2,992.75 × 1,423.44
  4. Step 4: Simplify right side
    2,170.26x = 4,259,996.50
  5. Step 5: Solve for x
    x = 4,259,996.50/2,170.26
  6. Step 6: Final answer
    x = 1,962.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.