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Finding the Fourth Proportional to 2,968.76, 4,092.72 and 1,919

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Solution

The fourth proportional to 2,968.76, 4,092.72 and 1,919 is: 2,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.76 : 4,092.72 = 1,919 : x
  2. Step 2: Convert to fraction form
    2,968.76/4,092.72 = 1,919/x
  3. Step 3: Cross multiply
    2,968.76x = 4,092.72 × 1,919
  4. Step 4: Simplify right side
    2,968.76x = 7,853,929.68
  5. Step 5: Solve for x
    x = 7,853,929.68/2,968.76
  6. Step 6: Final answer
    x = 2,645.53

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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.