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Finding the Fourth Proportional to 2,116.48, 3,179.60 and 2,029

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Solution

The fourth proportional to 2,116.48, 3,179.60 and 2,029 is: 3,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.48 : 3,179.60 = 2,029 : x
  2. Step 2: Convert to fraction form
    2,116.48/3,179.60 = 2,029/x
  3. Step 3: Cross multiply
    2,116.48x = 3,179.60 × 2,029
  4. Step 4: Simplify right side
    2,116.48x = 6,451,408.40
  5. Step 5: Solve for x
    x = 6,451,408.40/2,116.48
  6. Step 6: Final answer
    x = 3,048.18

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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.