Home / 1,657.16-2,286.77-911.11

Finding the Fourth Proportional to 1,657.16, 2,286.77 and 911.11

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Solution

The fourth proportional to 1,657.16, 2,286.77 and 911.11 is: 1,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.16 : 2,286.77 = 911.11 : x
  2. Step 2: Convert to fraction form
    1,657.16/2,286.77 = 911.11/x
  3. Step 3: Cross multiply
    1,657.16x = 2,286.77 × 911.11
  4. Step 4: Simplify right side
    1,657.16x = 2,083,499.01
  5. Step 5: Solve for x
    x = 2,083,499.01/1,657.16
  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.