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Finding the Fourth Proportional to 1,657.27, 2,287.08 and 911.28

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Solution

The fourth proportional to 1,657.27, 2,287.08 and 911.28 is: 1,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.27 : 2,287.08 = 911.28 : x
  2. Step 2: Convert to fraction form
    1,657.27/2,287.08 = 911.28/x
  3. Step 3: Cross multiply
    1,657.27x = 2,287.08 × 911.28
  4. Step 4: Simplify right side
    1,657.27x = 2,084,165.97
  5. Step 5: Solve for x
    x = 2,084,165.97/1,657.27
  6. Step 6: Final answer
    x = 1,257.59

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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.