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Finding the Fourth Proportional to 1,921.58, 2,881.75 and 825.25

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Solution

The fourth proportional to 1,921.58, 2,881.75 and 825.25 is: 1,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.58 : 2,881.75 = 825.25 : x
  2. Step 2: Convert to fraction form
    1,921.58/2,881.75 = 825.25/x
  3. Step 3: Cross multiply
    1,921.58x = 2,881.75 × 825.25
  4. Step 4: Simplify right side
    1,921.58x = 2,378,164.19
  5. Step 5: Solve for x
    x = 2,378,164.19/1,921.58
  6. Step 6: Final answer
    x = 1,237.61

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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.