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Finding the Fourth Proportional to 2,694.88, 4,038.96 and 961.60

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Solution

The fourth proportional to 2,694.88, 4,038.96 and 961.60 is: 1,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.88 : 4,038.96 = 961.60 : x
  2. Step 2: Convert to fraction form
    2,694.88/4,038.96 = 961.60/x
  3. Step 3: Cross multiply
    2,694.88x = 4,038.96 × 961.60
  4. Step 4: Simplify right side
    2,694.88x = 3,883,863.94
  5. Step 5: Solve for x
    x = 3,883,863.94/2,694.88
  6. Step 6: Final answer
    x = 1,441.20

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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.