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Finding the Fourth Proportional to 2,381.32, 3,571.62 and 920.29

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Solution

The fourth proportional to 2,381.32, 3,571.62 and 920.29 is: 1,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.32 : 3,571.62 = 920.29 : x
  2. Step 2: Convert to fraction form
    2,381.32/3,571.62 = 920.29/x
  3. Step 3: Cross multiply
    2,381.32x = 3,571.62 × 920.29
  4. Step 4: Simplify right side
    2,381.32x = 3,286,926.17
  5. Step 5: Solve for x
    x = 3,286,926.17/2,381.32
  6. Step 6: Final answer
    x = 1,380.30

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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.