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Finding the Fourth Proportional to 2,129.80, 3,193.02 and 830.44

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Solution

The fourth proportional to 2,129.80, 3,193.02 and 830.44 is: 1,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.80 : 3,193.02 = 830.44 : x
  2. Step 2: Convert to fraction form
    2,129.80/3,193.02 = 830.44/x
  3. Step 3: Cross multiply
    2,129.80x = 3,193.02 × 830.44
  4. Step 4: Simplify right side
    2,129.80x = 2,651,611.53
  5. Step 5: Solve for x
    x = 2,651,611.53/2,129.80
  6. Step 6: Final answer
    x = 1,245.00

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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.