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Finding the Fourth Proportional to 2,911.55, 4,362.67 and 2,834.67

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Solution

The fourth proportional to 2,911.55, 4,362.67 and 2,834.67 is: 4,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.55 : 4,362.67 = 2,834.67 : x
  2. Step 2: Convert to fraction form
    2,911.55/4,362.67 = 2,834.67/x
  3. Step 3: Cross multiply
    2,911.55x = 4,362.67 × 2,834.67
  4. Step 4: Simplify right side
    2,911.55x = 12,366,729.77
  5. Step 5: Solve for x
    x = 12,366,729.77/2,911.55
  6. Step 6: Final answer
    x = 4,247.47

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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.