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Finding the Fourth Proportional to 1,635.12, 2,256.48 and 889.10

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Solution

The fourth proportional to 1,635.12, 2,256.48 and 889.10 is: 1,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.12 : 2,256.48 = 889.10 : x
  2. Step 2: Convert to fraction form
    1,635.12/2,256.48 = 889.10/x
  3. Step 3: Cross multiply
    1,635.12x = 2,256.48 × 889.10
  4. Step 4: Simplify right side
    1,635.12x = 2,006,236.37
  5. Step 5: Solve for x
    x = 2,006,236.37/1,635.12
  6. Step 6: Final answer
    x = 1,226.97

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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.