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Finding the Fourth Proportional to 2,001.42, 3,001.14 and 768.06

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Solution

The fourth proportional to 2,001.42, 3,001.14 and 768.06 is: 1,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.42 : 3,001.14 = 768.06 : x
  2. Step 2: Convert to fraction form
    2,001.42/3,001.14 = 768.06/x
  3. Step 3: Cross multiply
    2,001.42x = 3,001.14 × 768.06
  4. Step 4: Simplify right side
    2,001.42x = 2,305,055.59
  5. Step 5: Solve for x
    x = 2,305,055.59/2,001.42
  6. Step 6: Final answer
    x = 1,151.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.