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Finding the Fourth Proportional to 2,694.51, 3,719.88 and 1,814.97

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Solution

The fourth proportional to 2,694.51, 3,719.88 and 1,814.97 is: 2,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.51 : 3,719.88 = 1,814.97 : x
  2. Step 2: Convert to fraction form
    2,694.51/3,719.88 = 1,814.97/x
  3. Step 3: Cross multiply
    2,694.51x = 3,719.88 × 1,814.97
  4. Step 4: Simplify right side
    2,694.51x = 6,751,470.60
  5. Step 5: Solve for x
    x = 6,751,470.60/2,694.51
  6. Step 6: Final answer
    x = 2,505.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.