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Finding the Fourth Proportional to 2,991.67, 4,126.56 and 1,930.78

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Solution

The fourth proportional to 2,991.67, 4,126.56 and 1,930.78 is: 2,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.67 : 4,126.56 = 1,930.78 : x
  2. Step 2: Convert to fraction form
    2,991.67/4,126.56 = 1,930.78/x
  3. Step 3: Cross multiply
    2,991.67x = 4,126.56 × 1,930.78
  4. Step 4: Simplify right side
    2,991.67x = 7,967,479.52
  5. Step 5: Solve for x
    x = 7,967,479.52/2,991.67
  6. Step 6: Final answer
    x = 2,663.22

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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.