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Finding the Fourth Proportional to 2,380.85, 3,571.68 and 821.01

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Solution

The fourth proportional to 2,380.85, 3,571.68 and 821.01 is: 1,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.85 : 3,571.68 = 821.01 : x
  2. Step 2: Convert to fraction form
    2,380.85/3,571.68 = 821.01/x
  3. Step 3: Cross multiply
    2,380.85x = 3,571.68 × 821.01
  4. Step 4: Simplify right side
    2,380.85x = 2,932,380.89
  5. Step 5: Solve for x
    x = 2,932,380.89/2,380.85
  6. Step 6: Final answer
    x = 1,231.66

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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.