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Finding the Fourth Proportional to 2,380.15, 3,570.56 and 736.82

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Solution

The fourth proportional to 2,380.15, 3,570.56 and 736.82 is: 1,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.15 : 3,570.56 = 736.82 : x
  2. Step 2: Convert to fraction form
    2,380.15/3,570.56 = 736.82/x
  3. Step 3: Cross multiply
    2,380.15x = 3,570.56 × 736.82
  4. Step 4: Simplify right side
    2,380.15x = 2,630,860.02
  5. Step 5: Solve for x
    x = 2,630,860.02/2,380.15
  6. Step 6: Final answer
    x = 1,105.33

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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.