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Finding the Fourth Proportional to 2,994.81, 4,129.29 and 2,051.05

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Solution

The fourth proportional to 2,994.81, 4,129.29 and 2,051.05 is: 2,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.81 : 4,129.29 = 2,051.05 : x
  2. Step 2: Convert to fraction form
    2,994.81/4,129.29 = 2,051.05/x
  3. Step 3: Cross multiply
    2,994.81x = 4,129.29 × 2,051.05
  4. Step 4: Simplify right side
    2,994.81x = 8,469,380.25
  5. Step 5: Solve for x
    x = 8,469,380.25/2,994.81
  6. Step 6: Final answer
    x = 2,828.02

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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.