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Finding the Fourth Proportional to 2,410.41, 3,613.44 and 849.33

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Solution

The fourth proportional to 2,410.41, 3,613.44 and 849.33 is: 1,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.41 : 3,613.44 = 849.33 : x
  2. Step 2: Convert to fraction form
    2,410.41/3,613.44 = 849.33/x
  3. Step 3: Cross multiply
    2,410.41x = 3,613.44 × 849.33
  4. Step 4: Simplify right side
    2,410.41x = 3,069,003.00
  5. Step 5: Solve for x
    x = 3,069,003.00/2,410.41
  6. Step 6: Final answer
    x = 1,273.23

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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.