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Finding the Fourth Proportional to 2,381.28, 3,570.60 and 820.44

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Solution

The fourth proportional to 2,381.28, 3,570.60 and 820.44 is: 1,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.28 : 3,570.60 = 820.44 : x
  2. Step 2: Convert to fraction form
    2,381.28/3,570.60 = 820.44/x
  3. Step 3: Cross multiply
    2,381.28x = 3,570.60 × 820.44
  4. Step 4: Simplify right side
    2,381.28x = 2,929,463.06
  5. Step 5: Solve for x
    x = 2,929,463.06/2,381.28
  6. Step 6: Final answer
    x = 1,230.21

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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.