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Finding the Fourth Proportional to 2,380.49, 3,570.74 and 1,520.27

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Solution

The fourth proportional to 2,380.49, 3,570.74 and 1,520.27 is: 2,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.49 : 3,570.74 = 1,520.27 : x
  2. Step 2: Convert to fraction form
    2,380.49/3,570.74 = 1,520.27/x
  3. Step 3: Cross multiply
    2,380.49x = 3,570.74 × 1,520.27
  4. Step 4: Simplify right side
    2,380.49x = 5,428,488.90
  5. Step 5: Solve for x
    x = 5,428,488.90/2,380.49
  6. Step 6: Final answer
    x = 2,280.41

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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.