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Finding the Fourth Proportional to 1,657.71, 2,287.74 and 911.73

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Solution

The fourth proportional to 1,657.71, 2,287.74 and 911.73 is: 1,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.71 : 2,287.74 = 911.73 : x
  2. Step 2: Convert to fraction form
    1,657.71/2,287.74 = 911.73/x
  3. Step 3: Cross multiply
    1,657.71x = 2,287.74 × 911.73
  4. Step 4: Simplify right side
    1,657.71x = 2,085,813.19
  5. Step 5: Solve for x
    x = 2,085,813.19/1,657.71
  6. Step 6: Final answer
    x = 1,258.25

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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.