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Finding the Fourth Proportional to 1,657.13, 2,286.83 and 911.12

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Solution

The fourth proportional to 1,657.13, 2,286.83 and 911.12 is: 1,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.13 : 2,286.83 = 911.12 : x
  2. Step 2: Convert to fraction form
    1,657.13/2,286.83 = 911.12/x
  3. Step 3: Cross multiply
    1,657.13x = 2,286.83 × 911.12
  4. Step 4: Simplify right side
    1,657.13x = 2,083,567.39
  5. Step 5: Solve for x
    x = 2,083,567.39/1,657.13
  6. Step 6: Final answer
    x = 1,257.34

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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.