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Finding the Fourth Proportional to 2,905.33, 4,357.97 and 825.35

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Solution

The fourth proportional to 2,905.33, 4,357.97 and 825.35 is: 1,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.33 : 4,357.97 = 825.35 : x
  2. Step 2: Convert to fraction form
    2,905.33/4,357.97 = 825.35/x
  3. Step 3: Cross multiply
    2,905.33x = 4,357.97 × 825.35
  4. Step 4: Simplify right side
    2,905.33x = 3,596,824.62
  5. Step 5: Solve for x
    x = 3,596,824.62/2,905.33
  6. Step 6: Final answer
    x = 1,238.01

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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.