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Finding the Fourth Proportional to 2,380.23, 3,570.33 and 820.26

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Solution

The fourth proportional to 2,380.23, 3,570.33 and 820.26 is: 1,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.23 : 3,570.33 = 820.26 : x
  2. Step 2: Convert to fraction form
    2,380.23/3,570.33 = 820.26/x
  3. Step 3: Cross multiply
    2,380.23x = 3,570.33 × 820.26
  4. Step 4: Simplify right side
    2,380.23x = 2,928,598.89
  5. Step 5: Solve for x
    x = 2,928,598.89/2,380.23
  6. Step 6: Final answer
    x = 1,230.38

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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.