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Finding the Fourth Proportional to 1,426.78, 1,967.15 and 1,213.88

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Solution

The fourth proportional to 1,426.78, 1,967.15 and 1,213.88 is: 1,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.78 : 1,967.15 = 1,213.88 : x
  2. Step 2: Convert to fraction form
    1,426.78/1,967.15 = 1,213.88/x
  3. Step 3: Cross multiply
    1,426.78x = 1,967.15 × 1,213.88
  4. Step 4: Simplify right side
    1,426.78x = 2,387,884.04
  5. Step 5: Solve for x
    x = 2,387,884.04/1,426.78
  6. Step 6: Final answer
    x = 1,673.62

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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.