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Finding the Fourth Proportional to 2,694.29, 4,040.98 and 746.04

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Solution

The fourth proportional to 2,694.29, 4,040.98 and 746.04 is: 1,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.29 : 4,040.98 = 746.04 : x
  2. Step 2: Convert to fraction form
    2,694.29/4,040.98 = 746.04/x
  3. Step 3: Cross multiply
    2,694.29x = 4,040.98 × 746.04
  4. Step 4: Simplify right side
    2,694.29x = 3,014,730.85
  5. Step 5: Solve for x
    x = 3,014,730.85/2,694.29
  6. Step 6: Final answer
    x = 1,118.93

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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.