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Finding the Fourth Proportional to 1,798.10, 2,694.69 and 1,358.99

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Solution

The fourth proportional to 1,798.10, 2,694.69 and 1,358.99 is: 2,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.10 : 2,694.69 = 1,358.99 : x
  2. Step 2: Convert to fraction form
    1,798.10/2,694.69 = 1,358.99/x
  3. Step 3: Cross multiply
    1,798.10x = 2,694.69 × 1,358.99
  4. Step 4: Simplify right side
    1,798.10x = 3,662,049.97
  5. Step 5: Solve for x
    x = 3,662,049.97/1,798.10
  6. Step 6: Final answer
    x = 2,036.63

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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.