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Finding the Fourth Proportional to 2,842.85, 3,938.34 and 2,774.81

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Solution

The fourth proportional to 2,842.85, 3,938.34 and 2,774.81 is: 3,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.85 : 3,938.34 = 2,774.81 : x
  2. Step 2: Convert to fraction form
    2,842.85/3,938.34 = 2,774.81/x
  3. Step 3: Cross multiply
    2,842.85x = 3,938.34 × 2,774.81
  4. Step 4: Simplify right side
    2,842.85x = 10,928,125.52
  5. Step 5: Solve for x
    x = 10,928,125.52/2,842.85
  6. Step 6: Final answer
    x = 3,844.08

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.