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Finding the Fourth Proportional to 2,381.52, 3,571.74 and 920.28

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Solution

The fourth proportional to 2,381.52, 3,571.74 and 920.28 is: 1,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.52 : 3,571.74 = 920.28 : x
  2. Step 2: Convert to fraction form
    2,381.52/3,571.74 = 920.28/x
  3. Step 3: Cross multiply
    2,381.52x = 3,571.74 × 920.28
  4. Step 4: Simplify right side
    2,381.52x = 3,287,000.89
  5. Step 5: Solve for x
    x = 3,287,000.89/2,381.52
  6. Step 6: Final answer
    x = 1,380.21

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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.