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Finding the Fourth Proportional to 2,380.62, 3,570.30 and 919.38

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Solution

The fourth proportional to 2,380.62, 3,570.30 and 919.38 is: 1,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.62 : 3,570.30 = 919.38 : x
  2. Step 2: Convert to fraction form
    2,380.62/3,570.30 = 919.38/x
  3. Step 3: Cross multiply
    2,380.62x = 3,570.30 × 919.38
  4. Step 4: Simplify right side
    2,380.62x = 3,282,462.41
  5. Step 5: Solve for x
    x = 3,282,462.41/2,380.62
  6. Step 6: Final answer
    x = 1,378.83

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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.