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Finding the Fourth Proportional to 1,796.76, 2,478.03 and 1,166.97

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Solution

The fourth proportional to 1,796.76, 2,478.03 and 1,166.97 is: 1,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.76 : 2,478.03 = 1,166.97 : x
  2. Step 2: Convert to fraction form
    1,796.76/2,478.03 = 1,166.97/x
  3. Step 3: Cross multiply
    1,796.76x = 2,478.03 × 1,166.97
  4. Step 4: Simplify right side
    1,796.76x = 2,891,786.05
  5. Step 5: Solve for x
    x = 2,891,786.05/1,796.76
  6. Step 6: Final answer
    x = 1,609.45

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Double scale
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1.5x scale

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.