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Finding the Fourth Proportional to 1,919.45, 2,879.18 and 823.11

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Solution

The fourth proportional to 1,919.45, 2,879.18 and 823.11 is: 1,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.45 : 2,879.18 = 823.11 : x
  2. Step 2: Convert to fraction form
    1,919.45/2,879.18 = 823.11/x
  3. Step 3: Cross multiply
    1,919.45x = 2,879.18 × 823.11
  4. Step 4: Simplify right side
    1,919.45x = 2,369,881.85
  5. Step 5: Solve for x
    x = 2,369,881.85/1,919.45
  6. Step 6: Final answer
    x = 1,234.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.