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Finding the Fourth Proportional to 2,984.33, 4,116.69 and 1,863.90

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Solution

The fourth proportional to 2,984.33, 4,116.69 and 1,863.90 is: 2,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.33 : 4,116.69 = 1,863.90 : x
  2. Step 2: Convert to fraction form
    2,984.33/4,116.69 = 1,863.90/x
  3. Step 3: Cross multiply
    2,984.33x = 4,116.69 × 1,863.90
  4. Step 4: Simplify right side
    2,984.33x = 7,673,098.49
  5. Step 5: Solve for x
    x = 7,673,098.49/2,984.33
  6. Step 6: Final answer
    x = 2,571.13

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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.