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Finding the Fourth Proportional to 2,562.14, 3,843.94 and 830.90

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Solution

The fourth proportional to 2,562.14, 3,843.94 and 830.90 is: 1,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.14 : 3,843.94 = 830.90 : x
  2. Step 2: Convert to fraction form
    2,562.14/3,843.94 = 830.90/x
  3. Step 3: Cross multiply
    2,562.14x = 3,843.94 × 830.90
  4. Step 4: Simplify right side
    2,562.14x = 3,193,929.75
  5. Step 5: Solve for x
    x = 3,193,929.75/2,562.14
  6. Step 6: Final answer
    x = 1,246.59

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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.