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Finding the Fourth Proportional to 1,994.86, 2,992.31 and 1,376.73

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Solution

The fourth proportional to 1,994.86, 2,992.31 and 1,376.73 is: 2,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.86 : 2,992.31 = 1,376.73 : x
  2. Step 2: Convert to fraction form
    1,994.86/2,992.31 = 1,376.73/x
  3. Step 3: Cross multiply
    1,994.86x = 2,992.31 × 1,376.73
  4. Step 4: Simplify right side
    1,994.86x = 4,119,601.23
  5. Step 5: Solve for x
    x = 4,119,601.23/1,994.86
  6. Step 6: Final answer
    x = 2,065.11

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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.