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Finding the Fourth Proportional to 2,162.43, 2,984.02 and 1,278.31

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Solution

The fourth proportional to 2,162.43, 2,984.02 and 1,278.31 is: 1,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.43 : 2,984.02 = 1,278.31 : x
  2. Step 2: Convert to fraction form
    2,162.43/2,984.02 = 1,278.31/x
  3. Step 3: Cross multiply
    2,162.43x = 2,984.02 × 1,278.31
  4. Step 4: Simplify right side
    2,162.43x = 3,814,502.61
  5. Step 5: Solve for x
    x = 3,814,502.61/2,162.43
  6. Step 6: Final answer
    x = 1,763.99

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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.