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Finding the Fourth Proportional to 1,409.44, 1,942.32 and 994.72

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Solution

The fourth proportional to 1,409.44, 1,942.32 and 994.72 is: 1,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.44 : 1,942.32 = 994.72 : x
  2. Step 2: Convert to fraction form
    1,409.44/1,942.32 = 994.72/x
  3. Step 3: Cross multiply
    1,409.44x = 1,942.32 × 994.72
  4. Step 4: Simplify right side
    1,409.44x = 1,932,064.55
  5. Step 5: Solve for x
    x = 1,932,064.55/1,409.44
  6. Step 6: Final answer
    x = 1,370.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.