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Finding the Fourth Proportional to 1,636.01, 2,257.44 and 937.25

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Solution

The fourth proportional to 1,636.01, 2,257.44 and 937.25 is: 1,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.01 : 2,257.44 = 937.25 : x
  2. Step 2: Convert to fraction form
    1,636.01/2,257.44 = 937.25/x
  3. Step 3: Cross multiply
    1,636.01x = 2,257.44 × 937.25
  4. Step 4: Simplify right side
    1,636.01x = 2,115,785.64
  5. Step 5: Solve for x
    x = 2,115,785.64/1,636.01
  6. Step 6: Final answer
    x = 1,293.26

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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.