Home / 1,657.22-2,287.02-949.17

Finding the Fourth Proportional to 1,657.22, 2,287.02 and 949.17

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Solution

The fourth proportional to 1,657.22, 2,287.02 and 949.17 is: 1,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.22 : 2,287.02 = 949.17 : x
  2. Step 2: Convert to fraction form
    1,657.22/2,287.02 = 949.17/x
  3. Step 3: Cross multiply
    1,657.22x = 2,287.02 × 949.17
  4. Step 4: Simplify right side
    1,657.22x = 2,170,770.77
  5. Step 5: Solve for x
    x = 2,170,770.77/1,657.22
  6. Step 6: Final answer
    x = 1,309.89

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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.