Home / 1,657.22-2,287.01-949.13

Finding the Fourth Proportional to 1,657.22, 2,287.01 and 949.13

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Solution

The fourth proportional to 1,657.22, 2,287.01 and 949.13 is: 1,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.22 : 2,287.01 = 949.13 : x
  2. Step 2: Convert to fraction form
    1,657.22/2,287.01 = 949.13/x
  3. Step 3: Cross multiply
    1,657.22x = 2,287.01 × 949.13
  4. Step 4: Simplify right side
    1,657.22x = 2,170,653.62
  5. Step 5: Solve for x
    x = 2,170,653.62/1,657.22
  6. Step 6: Final answer
    x = 1,309.82

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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.