Home / 1,657.14-2,286.85-911.17

Finding the Fourth Proportional to 1,657.14, 2,286.85 and 911.17

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Solution

The fourth proportional to 1,657.14, 2,286.85 and 911.17 is: 1,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.14 : 2,286.85 = 911.17 : x
  2. Step 2: Convert to fraction form
    1,657.14/2,286.85 = 911.17/x
  3. Step 3: Cross multiply
    1,657.14x = 2,286.85 × 911.17
  4. Step 4: Simplify right side
    1,657.14x = 2,083,709.11
  5. Step 5: Solve for x
    x = 2,083,709.11/1,657.14
  6. Step 6: Final answer
    x = 1,257.41

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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.