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Finding the Fourth Proportional to 2,694.44, 4,041.89 and 746.66

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Solution

The fourth proportional to 2,694.44, 4,041.89 and 746.66 is: 1,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.44 : 4,041.89 = 746.66 : x
  2. Step 2: Convert to fraction form
    2,694.44/4,041.89 = 746.66/x
  3. Step 3: Cross multiply
    2,694.44x = 4,041.89 × 746.66
  4. Step 4: Simplify right side
    2,694.44x = 3,017,917.59
  5. Step 5: Solve for x
    x = 3,017,917.59/2,694.44
  6. Step 6: Final answer
    x = 1,120.05

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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.