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Finding the Fourth Proportional to 2,380.89, 3,571.97 and 993.77

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Solution

The fourth proportional to 2,380.89, 3,571.97 and 993.77 is: 1,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.89 : 3,571.97 = 993.77 : x
  2. Step 2: Convert to fraction form
    2,380.89/3,571.97 = 993.77/x
  3. Step 3: Cross multiply
    2,380.89x = 3,571.97 × 993.77
  4. Step 4: Simplify right side
    2,380.89x = 3,549,693.80
  5. Step 5: Solve for x
    x = 3,549,693.80/2,380.89
  6. Step 6: Final answer
    x = 1,490.91

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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.