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Finding the Fourth Proportional to 1,657.31, 2,286.95 and 911.32

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Solution

The fourth proportional to 1,657.31, 2,286.95 and 911.32 is: 1,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.31 : 2,286.95 = 911.32 : x
  2. Step 2: Convert to fraction form
    1,657.31/2,286.95 = 911.32/x
  3. Step 3: Cross multiply
    1,657.31x = 2,286.95 × 911.32
  4. Step 4: Simplify right side
    1,657.31x = 2,084,138.13
  5. Step 5: Solve for x
    x = 2,084,138.13/1,657.31
  6. Step 6: Final answer
    x = 1,257.54

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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.