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Finding the Fourth Proportional to 1,657.23, 2,287.00 and 911.25

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Solution

The fourth proportional to 1,657.23, 2,287.00 and 911.25 is: 1,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.23 : 2,287.00 = 911.25 : x
  2. Step 2: Convert to fraction form
    1,657.23/2,287.00 = 911.25/x
  3. Step 3: Cross multiply
    1,657.23x = 2,287.00 × 911.25
  4. Step 4: Simplify right side
    1,657.23x = 2,084,029.89
  5. Step 5: Solve for x
    x = 2,084,029.89/1,657.23
  6. Step 6: Final answer
    x = 1,257.54

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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.