Home / 1,657.97-2,288.06-949.92

Finding the Fourth Proportional to 1,657.97, 2,288.06 and 949.92

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Solution

The fourth proportional to 1,657.97, 2,288.06 and 949.92 is: 1,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.97 : 2,288.06 = 949.92 : x
  2. Step 2: Convert to fraction form
    1,657.97/2,288.06 = 949.92/x
  3. Step 3: Cross multiply
    1,657.97x = 2,288.06 × 949.92
  4. Step 4: Simplify right side
    1,657.97x = 2,173,469.21
  5. Step 5: Solve for x
    x = 2,173,469.21/1,657.97
  6. Step 6: Final answer
    x = 1,310.93

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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.