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Finding the Fourth Proportional to 1,635.52, 2,257.02 and 889.48

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Solution

The fourth proportional to 1,635.52, 2,257.02 and 889.48 is: 1,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.52 : 2,257.02 = 889.48 : x
  2. Step 2: Convert to fraction form
    1,635.52/2,257.02 = 889.48/x
  3. Step 3: Cross multiply
    1,635.52x = 2,257.02 × 889.48
  4. Step 4: Simplify right side
    1,635.52x = 2,007,574.15
  5. Step 5: Solve for x
    x = 2,007,574.15/1,635.52
  6. Step 6: Final answer
    x = 1,227.48

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1.5x scale

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.