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Finding the Fourth Proportional to 1,657.25, 2,287.04 and 911.26

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Solution

The fourth proportional to 1,657.25, 2,287.04 and 911.26 is: 1,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.25 : 2,287.04 = 911.26 : x
  2. Step 2: Convert to fraction form
    1,657.25/2,287.04 = 911.26/x
  3. Step 3: Cross multiply
    1,657.25x = 2,287.04 × 911.26
  4. Step 4: Simplify right side
    1,657.25x = 2,084,087.63
  5. Step 5: Solve for x
    x = 2,084,087.63/1,657.25
  6. Step 6: Final answer
    x = 1,257.56

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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.