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Finding the Fourth Proportional to 2,379.78, 3,570.23 and 736.24

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Solution

The fourth proportional to 2,379.78, 3,570.23 and 736.24 is: 1,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.78 : 3,570.23 = 736.24 : x
  2. Step 2: Convert to fraction form
    2,379.78/3,570.23 = 736.24/x
  3. Step 3: Cross multiply
    2,379.78x = 3,570.23 × 736.24
  4. Step 4: Simplify right side
    2,379.78x = 2,628,541.60
  5. Step 5: Solve for x
    x = 2,628,541.60/2,379.78
  6. Step 6: Final answer
    x = 1,104.53

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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.