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Finding the Fourth Proportional to 1,256.16, 1,891.83 and 1,120.44

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Solution

The fourth proportional to 1,256.16, 1,891.83 and 1,120.44 is: 1,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.16 : 1,891.83 = 1,120.44 : x
  2. Step 2: Convert to fraction form
    1,256.16/1,891.83 = 1,120.44/x
  3. Step 3: Cross multiply
    1,256.16x = 1,891.83 × 1,120.44
  4. Step 4: Simplify right side
    1,256.16x = 2,119,682.01
  5. Step 5: Solve for x
    x = 2,119,682.01/1,256.16
  6. Step 6: Final answer
    x = 1,687.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.