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Finding the Fourth Proportional to 1,891.64, 2,832.24 and 1,427.99

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Solution

The fourth proportional to 1,891.64, 2,832.24 and 1,427.99 is: 2,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.64 : 2,832.24 = 1,427.99 : x
  2. Step 2: Convert to fraction form
    1,891.64/2,832.24 = 1,427.99/x
  3. Step 3: Cross multiply
    1,891.64x = 2,832.24 × 1,427.99
  4. Step 4: Simplify right side
    1,891.64x = 4,044,410.40
  5. Step 5: Solve for x
    x = 4,044,410.40/1,891.64
  6. Step 6: Final answer
    x = 2,138.04

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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.