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Finding the Fourth Proportional to 3,480.28, 4,802.94 and 2,083

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Solution

The fourth proportional to 3,480.28, 4,802.94 and 2,083 is: 2,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.28 : 4,802.94 = 2,083 : x
  2. Step 2: Convert to fraction form
    3,480.28/4,802.94 = 2,083/x
  3. Step 3: Cross multiply
    3,480.28x = 4,802.94 × 2,083
  4. Step 4: Simplify right side
    3,480.28x = 10,004,524.02
  5. Step 5: Solve for x
    x = 10,004,524.02/3,480.28
  6. Step 6: Final answer
    x = 2,874.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.