Home / 2,008-2,769.36-1,536.56

Finding the Fourth Proportional to 2,008, 2,769.36 and 1,536.56

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Solution

The fourth proportional to 2,008, 2,769.36 and 1,536.56 is: 2,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008 : 2,769.36 = 1,536.56 : x
  2. Step 2: Convert to fraction form
    2,008/2,769.36 = 1,536.56/x
  3. Step 3: Cross multiply
    2,008x = 2,769.36 × 1,536.56
  4. Step 4: Simplify right side
    2,008x = 4,255,287.80
  5. Step 5: Solve for x
    x = 4,255,287.80/2,008
  6. Step 6: Final answer
    x = 2,119.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.