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Finding the Fourth Proportional to 1,657.92, 2,287.92 and 911.88

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Solution

The fourth proportional to 1,657.92, 2,287.92 and 911.88 is: 1,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.92 : 2,287.92 = 911.88 : x
  2. Step 2: Convert to fraction form
    1,657.92/2,287.92 = 911.88/x
  3. Step 3: Cross multiply
    1,657.92x = 2,287.92 × 911.88
  4. Step 4: Simplify right side
    1,657.92x = 2,086,308.49
  5. Step 5: Solve for x
    x = 2,086,308.49/1,657.92
  6. Step 6: Final answer
    x = 1,258.39

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1.5x scale

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.