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Finding the Fourth Proportional to 1,656.92, 2,286.64 and 911.03

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Solution

The fourth proportional to 1,656.92, 2,286.64 and 911.03 is: 1,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.92 : 2,286.64 = 911.03 : x
  2. Step 2: Convert to fraction form
    1,656.92/2,286.64 = 911.03/x
  3. Step 3: Cross multiply
    1,656.92x = 2,286.64 × 911.03
  4. Step 4: Simplify right side
    1,656.92x = 2,083,201.02
  5. Step 5: Solve for x
    x = 2,083,201.02/1,656.92
  6. Step 6: Final answer
    x = 1,257.27

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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.