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Finding the Fourth Proportional to 1,342.43, 2,002.87 and 1,194.42

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Solution

The fourth proportional to 1,342.43, 2,002.87 and 1,194.42 is: 1,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.43 : 2,002.87 = 1,194.42 : x
  2. Step 2: Convert to fraction form
    1,342.43/2,002.87 = 1,194.42/x
  3. Step 3: Cross multiply
    1,342.43x = 2,002.87 × 1,194.42
  4. Step 4: Simplify right side
    1,342.43x = 2,392,265.00
  5. Step 5: Solve for x
    x = 2,392,265.00/1,342.43
  6. Step 6: Final answer
    x = 1,782.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.