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Finding the Fourth Proportional to 1,636.52, 2,257.64 and 937.52

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Solution

The fourth proportional to 1,636.52, 2,257.64 and 937.52 is: 1,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.52 : 2,257.64 = 937.52 : x
  2. Step 2: Convert to fraction form
    1,636.52/2,257.64 = 937.52/x
  3. Step 3: Cross multiply
    1,636.52x = 2,257.64 × 937.52
  4. Step 4: Simplify right side
    1,636.52x = 2,116,582.65
  5. Step 5: Solve for x
    x = 2,116,582.65/1,636.52
  6. Step 6: Final answer
    x = 1,293.34

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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.