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Finding the Fourth Proportional to 1,825.75, 2,736.46 and 837.46

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Solution

The fourth proportional to 1,825.75, 2,736.46 and 837.46 is: 1,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.75 : 2,736.46 = 837.46 : x
  2. Step 2: Convert to fraction form
    1,825.75/2,736.46 = 837.46/x
  3. Step 3: Cross multiply
    1,825.75x = 2,736.46 × 837.46
  4. Step 4: Simplify right side
    1,825.75x = 2,291,675.79
  5. Step 5: Solve for x
    x = 2,291,675.79/1,825.75
  6. Step 6: Final answer
    x = 1,255.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.