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Finding the Fourth Proportional to 3,380.52, 4,665.16 and 1,964.33

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Solution

The fourth proportional to 3,380.52, 4,665.16 and 1,964.33 is: 2,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.52 : 4,665.16 = 1,964.33 : x
  2. Step 2: Convert to fraction form
    3,380.52/4,665.16 = 1,964.33/x
  3. Step 3: Cross multiply
    3,380.52x = 4,665.16 × 1,964.33
  4. Step 4: Simplify right side
    3,380.52x = 9,163,913.74
  5. Step 5: Solve for x
    x = 9,163,913.74/3,380.52
  6. Step 6: Final answer
    x = 2,710.80

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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.