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Finding the Fourth Proportional to 1,994.72, 2,992.37 and 1,020.48

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Solution

The fourth proportional to 1,994.72, 2,992.37 and 1,020.48 is: 1,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.72 : 2,992.37 = 1,020.48 : x
  2. Step 2: Convert to fraction form
    1,994.72/2,992.37 = 1,020.48/x
  3. Step 3: Cross multiply
    1,994.72x = 2,992.37 × 1,020.48
  4. Step 4: Simplify right side
    1,994.72x = 3,053,648.64
  5. Step 5: Solve for x
    x = 3,053,648.64/1,994.72
  6. Step 6: Final answer
    x = 1,530.87

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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.