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Finding the Fourth Proportional to 2,380.06, 3,570.67 and 736.60

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Solution

The fourth proportional to 2,380.06, 3,570.67 and 736.60 is: 1,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.06 : 3,570.67 = 736.60 : x
  2. Step 2: Convert to fraction form
    2,380.06/3,570.67 = 736.60/x
  3. Step 3: Cross multiply
    2,380.06x = 3,570.67 × 736.60
  4. Step 4: Simplify right side
    2,380.06x = 2,630,155.52
  5. Step 5: Solve for x
    x = 2,630,155.52/2,380.06
  6. Step 6: Final answer
    x = 1,105.08

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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.