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Finding the Fourth Proportional to 3,394.52, 4,684.40 and 1,997.24

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Solution

The fourth proportional to 3,394.52, 4,684.40 and 1,997.24 is: 2,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.52 : 4,684.40 = 1,997.24 : x
  2. Step 2: Convert to fraction form
    3,394.52/4,684.40 = 1,997.24/x
  3. Step 3: Cross multiply
    3,394.52x = 4,684.40 × 1,997.24
  4. Step 4: Simplify right side
    3,394.52x = 9,355,871.06
  5. Step 5: Solve for x
    x = 9,355,871.06/3,394.52
  6. Step 6: Final answer
    x = 2,756.17

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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.