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Finding the Fourth Proportional to 4,120.70, 6,181.95 and 2,270.85

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Solution

The fourth proportional to 4,120.70, 6,181.95 and 2,270.85 is: 3,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.70 : 6,181.95 = 2,270.85 : x
  2. Step 2: Convert to fraction form
    4,120.70/6,181.95 = 2,270.85/x
  3. Step 3: Cross multiply
    4,120.70x = 6,181.95 × 2,270.85
  4. Step 4: Simplify right side
    4,120.70x = 14,038,281.16
  5. Step 5: Solve for x
    x = 14,038,281.16/4,120.70
  6. Step 6: Final answer
    x = 3,406.78

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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.