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Finding the Fourth Proportional to 2,296.85, 3,443.15 and 835.67

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Solution

The fourth proportional to 2,296.85, 3,443.15 and 835.67 is: 1,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.85 : 3,443.15 = 835.67 : x
  2. Step 2: Convert to fraction form
    2,296.85/3,443.15 = 835.67/x
  3. Step 3: Cross multiply
    2,296.85x = 3,443.15 × 835.67
  4. Step 4: Simplify right side
    2,296.85x = 2,877,332.98
  5. Step 5: Solve for x
    x = 2,877,332.98/2,296.85
  6. Step 6: Final answer
    x = 1,252.73

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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.