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Finding the Fourth Proportional to 1,635.40, 2,256.88 and 889.36

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Solution

The fourth proportional to 1,635.40, 2,256.88 and 889.36 is: 1,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.40 : 2,256.88 = 889.36 : x
  2. Step 2: Convert to fraction form
    1,635.40/2,256.88 = 889.36/x
  3. Step 3: Cross multiply
    1,635.40x = 2,256.88 × 889.36
  4. Step 4: Simplify right side
    1,635.40x = 2,007,178.80
  5. Step 5: Solve for x
    x = 2,007,178.80/1,635.40
  6. Step 6: Final answer
    x = 1,227.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.