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Finding the Fourth Proportional to 2,647.62, 3,971.37 and 699.96

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Solution

The fourth proportional to 2,647.62, 3,971.37 and 699.96 is: 1,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.62 : 3,971.37 = 699.96 : x
  2. Step 2: Convert to fraction form
    2,647.62/3,971.37 = 699.96/x
  3. Step 3: Cross multiply
    2,647.62x = 3,971.37 × 699.96
  4. Step 4: Simplify right side
    2,647.62x = 2,779,800.15
  5. Step 5: Solve for x
    x = 2,779,800.15/2,647.62
  6. Step 6: Final answer
    x = 1,049.92

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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.