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Finding the Fourth Proportional to 1,982.01, 2,986.20 and 1,794.51

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Solution

The fourth proportional to 1,982.01, 2,986.20 and 1,794.51 is: 2,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.01 : 2,986.20 = 1,794.51 : x
  2. Step 2: Convert to fraction form
    1,982.01/2,986.20 = 1,794.51/x
  3. Step 3: Cross multiply
    1,982.01x = 2,986.20 × 1,794.51
  4. Step 4: Simplify right side
    1,982.01x = 5,358,765.76
  5. Step 5: Solve for x
    x = 5,358,765.76/1,982.01
  6. Step 6: Final answer
    x = 2,703.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.