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Finding the Fourth Proportional to 2,873.94, 4,311.32 and 926.56

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Solution

The fourth proportional to 2,873.94, 4,311.32 and 926.56 is: 1,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.94 : 4,311.32 = 926.56 : x
  2. Step 2: Convert to fraction form
    2,873.94/4,311.32 = 926.56/x
  3. Step 3: Cross multiply
    2,873.94x = 4,311.32 × 926.56
  4. Step 4: Simplify right side
    2,873.94x = 3,994,696.66
  5. Step 5: Solve for x
    x = 3,994,696.66/2,873.94
  6. Step 6: Final answer
    x = 1,389.97

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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.