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Finding the Fourth Proportional to 2,562.12, 3,843.54 and 830.34

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Solution

The fourth proportional to 2,562.12, 3,843.54 and 830.34 is: 1,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.12 : 3,843.54 = 830.34 : x
  2. Step 2: Convert to fraction form
    2,562.12/3,843.54 = 830.34/x
  3. Step 3: Cross multiply
    2,562.12x = 3,843.54 × 830.34
  4. Step 4: Simplify right side
    2,562.12x = 3,191,445.00
  5. Step 5: Solve for x
    x = 3,191,445.00/2,562.12
  6. Step 6: Final answer
    x = 1,245.63

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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.