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Finding the Fourth Proportional to 2,147.04, 3,219.95 and 830.70

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Solution

The fourth proportional to 2,147.04, 3,219.95 and 830.70 is: 1,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.04 : 3,219.95 = 830.70 : x
  2. Step 2: Convert to fraction form
    2,147.04/3,219.95 = 830.70/x
  3. Step 3: Cross multiply
    2,147.04x = 3,219.95 × 830.70
  4. Step 4: Simplify right side
    2,147.04x = 2,674,814.54
  5. Step 5: Solve for x
    x = 2,674,814.54/2,147.04
  6. Step 6: Final answer
    x = 1,245.81

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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.