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Finding the Fourth Proportional to 1,994.69, 2,992.46 and 762.45

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Solution

The fourth proportional to 1,994.69, 2,992.46 and 762.45 is: 1,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.69 : 2,992.46 = 762.45 : x
  2. Step 2: Convert to fraction form
    1,994.69/2,992.46 = 762.45/x
  3. Step 3: Cross multiply
    1,994.69x = 2,992.46 × 762.45
  4. Step 4: Simplify right side
    1,994.69x = 2,281,590.38
  5. Step 5: Solve for x
    x = 2,281,590.38/1,994.69
  6. Step 6: Final answer
    x = 1,143.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.