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Finding the Fourth Proportional to 1,635.36, 2,256.84 and 889.35

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Solution

The fourth proportional to 1,635.36, 2,256.84 and 889.35 is: 1,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.36 : 2,256.84 = 889.35 : x
  2. Step 2: Convert to fraction form
    1,635.36/2,256.84 = 889.35/x
  3. Step 3: Cross multiply
    1,635.36x = 2,256.84 × 889.35
  4. Step 4: Simplify right side
    1,635.36x = 2,007,120.65
  5. Step 5: Solve for x
    x = 2,007,120.65/1,635.36
  6. Step 6: Final answer
    x = 1,227.33

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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.