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Finding the Fourth Proportional to 1,924.30, 2,891.07 and 1,232.32

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Solution

The fourth proportional to 1,924.30, 2,891.07 and 1,232.32 is: 1,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.30 : 2,891.07 = 1,232.32 : x
  2. Step 2: Convert to fraction form
    1,924.30/2,891.07 = 1,232.32/x
  3. Step 3: Cross multiply
    1,924.30x = 2,891.07 × 1,232.32
  4. Step 4: Simplify right side
    1,924.30x = 3,562,723.38
  5. Step 5: Solve for x
    x = 3,562,723.38/1,924.30
  6. Step 6: Final answer
    x = 1,851.44

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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.