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Finding the Fourth Proportional to 2,825.34, 4,241.70 and 1,894.25

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Solution

The fourth proportional to 2,825.34, 4,241.70 and 1,894.25 is: 2,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.34 : 4,241.70 = 1,894.25 : x
  2. Step 2: Convert to fraction form
    2,825.34/4,241.70 = 1,894.25/x
  3. Step 3: Cross multiply
    2,825.34x = 4,241.70 × 1,894.25
  4. Step 4: Simplify right side
    2,825.34x = 8,034,819.02
  5. Step 5: Solve for x
    x = 8,034,819.02/2,825.34
  6. Step 6: Final answer
    x = 2,843.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.