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Finding the Fourth Proportional to 2,694.57, 4,041.74 and 746.73

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Solution

The fourth proportional to 2,694.57, 4,041.74 and 746.73 is: 1,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.57 : 4,041.74 = 746.73 : x
  2. Step 2: Convert to fraction form
    2,694.57/4,041.74 = 746.73/x
  3. Step 3: Cross multiply
    2,694.57x = 4,041.74 × 746.73
  4. Step 4: Simplify right side
    2,694.57x = 3,018,088.51
  5. Step 5: Solve for x
    x = 3,018,088.51/2,694.57
  6. Step 6: Final answer
    x = 1,120.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.