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Finding the Fourth Proportional to 2,774.19, 4,161.78 and 900.57

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Solution

The fourth proportional to 2,774.19, 4,161.78 and 900.57 is: 1,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.19 : 4,161.78 = 900.57 : x
  2. Step 2: Convert to fraction form
    2,774.19/4,161.78 = 900.57/x
  3. Step 3: Cross multiply
    2,774.19x = 4,161.78 × 900.57
  4. Step 4: Simplify right side
    2,774.19x = 3,747,974.21
  5. Step 5: Solve for x
    x = 3,747,974.21/2,774.19
  6. Step 6: Final answer
    x = 1,351.02

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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.