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Finding the Fourth Proportional to 2,449.74, 3,670.77 and 2,083.02

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Solution

The fourth proportional to 2,449.74, 3,670.77 and 2,083.02 is: 3,121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.74 : 3,670.77 = 2,083.02 : x
  2. Step 2: Convert to fraction form
    2,449.74/3,670.77 = 2,083.02/x
  3. Step 3: Cross multiply
    2,449.74x = 3,670.77 × 2,083.02
  4. Step 4: Simplify right side
    2,449.74x = 7,646,287.33
  5. Step 5: Solve for x
    x = 7,646,287.33/2,449.74
  6. Step 6: Final answer
    x = 3,121.26

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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.