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Finding the Fourth Proportional to 2,269.96, 3,401.98 and 1,976.20

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Solution

The fourth proportional to 2,269.96, 3,401.98 and 1,976.20 is: 2,961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.96 : 3,401.98 = 1,976.20 : x
  2. Step 2: Convert to fraction form
    2,269.96/3,401.98 = 1,976.20/x
  3. Step 3: Cross multiply
    2,269.96x = 3,401.98 × 1,976.20
  4. Step 4: Simplify right side
    2,269.96x = 6,722,992.88
  5. Step 5: Solve for x
    x = 6,722,992.88/2,269.96
  6. Step 6: Final answer
    x = 2,961.72

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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.