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Finding the Fourth Proportional to 2,162.48, 2,984.26 and 1,278.43

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Solution

The fourth proportional to 2,162.48, 2,984.26 and 1,278.43 is: 1,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.48 : 2,984.26 = 1,278.43 : x
  2. Step 2: Convert to fraction form
    2,162.48/2,984.26 = 1,278.43/x
  3. Step 3: Cross multiply
    2,162.48x = 2,984.26 × 1,278.43
  4. Step 4: Simplify right side
    2,162.48x = 3,815,161.12
  5. Step 5: Solve for x
    x = 3,815,161.12/2,162.48
  6. Step 6: Final answer
    x = 1,764.25

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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.