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Finding the Fourth Proportional to 2,770.12, 3,820.26 and 1,837

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Solution

The fourth proportional to 2,770.12, 3,820.26 and 1,837 is: 2,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.12 : 3,820.26 = 1,837 : x
  2. Step 2: Convert to fraction form
    2,770.12/3,820.26 = 1,837/x
  3. Step 3: Cross multiply
    2,770.12x = 3,820.26 × 1,837
  4. Step 4: Simplify right side
    2,770.12x = 7,017,817.62
  5. Step 5: Solve for x
    x = 7,017,817.62/2,770.12
  6. Step 6: Final answer
    x = 2,533.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.