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Finding the Fourth Proportional to 2,770.21, 3,820.74 and 1,775.59

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Solution

The fourth proportional to 2,770.21, 3,820.74 and 1,775.59 is: 2,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.21 : 3,820.74 = 1,775.59 : x
  2. Step 2: Convert to fraction form
    2,770.21/3,820.74 = 1,775.59/x
  3. Step 3: Cross multiply
    2,770.21x = 3,820.74 × 1,775.59
  4. Step 4: Simplify right side
    2,770.21x = 6,784,067.74
  5. Step 5: Solve for x
    x = 6,784,067.74/2,770.21
  6. Step 6: Final answer
    x = 2,448.94

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