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Finding the Fourth Proportional to 2,274.25, 3,143.05 and 1,714.52

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Solution

The fourth proportional to 2,274.25, 3,143.05 and 1,714.52 is: 2,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.25 : 3,143.05 = 1,714.52 : x
  2. Step 2: Convert to fraction form
    2,274.25/3,143.05 = 1,714.52/x
  3. Step 3: Cross multiply
    2,274.25x = 3,143.05 × 1,714.52
  4. Step 4: Simplify right side
    2,274.25x = 5,388,817.62
  5. Step 5: Solve for x
    x = 5,388,817.62/2,274.25
  6. Step 6: Final answer
    x = 2,369.49

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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.