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Finding the Fourth Proportional to 1,798.49, 2,694.12 and 823.25

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Solution

The fourth proportional to 1,798.49, 2,694.12 and 823.25 is: 1,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.49 : 2,694.12 = 823.25 : x
  2. Step 2: Convert to fraction form
    1,798.49/2,694.12 = 823.25/x
  3. Step 3: Cross multiply
    1,798.49x = 2,694.12 × 823.25
  4. Step 4: Simplify right side
    1,798.49x = 2,217,920.82
  5. Step 5: Solve for x
    x = 2,217,920.82/1,798.49
  6. Step 6: Final answer
    x = 1,233.22

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1.5x scale

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.