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Finding the Fourth Proportional to 1,657.76, 2,287.72 and 911.80

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Solution

The fourth proportional to 1,657.76, 2,287.72 and 911.80 is: 1,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.76 : 2,287.72 = 911.80 : x
  2. Step 2: Convert to fraction form
    1,657.76/2,287.72 = 911.80/x
  3. Step 3: Cross multiply
    1,657.76x = 2,287.72 × 911.80
  4. Step 4: Simplify right side
    1,657.76x = 2,085,927.10
  5. Step 5: Solve for x
    x = 2,085,927.10/1,657.76
  6. Step 6: Final answer
    x = 1,258.28

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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.