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Finding the Fourth Proportional to 2,994.72, 4,491.12 and 942.24

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Solution

The fourth proportional to 2,994.72, 4,491.12 and 942.24 is: 1,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.72 : 4,491.12 = 942.24 : x
  2. Step 2: Convert to fraction form
    2,994.72/4,491.12 = 942.24/x
  3. Step 3: Cross multiply
    2,994.72x = 4,491.12 × 942.24
  4. Step 4: Simplify right side
    2,994.72x = 4,231,712.91
  5. Step 5: Solve for x
    x = 4,231,712.91/2,994.72
  6. Step 6: Final answer
    x = 1,413.06

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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.