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Finding the Fourth Proportional to 3,282, 4,924.44 and 1,914

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Solution

The fourth proportional to 3,282, 4,924.44 and 1,914 is: 2,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282 : 4,924.44 = 1,914 : x
  2. Step 2: Convert to fraction form
    3,282/4,924.44 = 1,914/x
  3. Step 3: Cross multiply
    3,282x = 4,924.44 × 1,914
  4. Step 4: Simplify right side
    3,282x = 9,425,378.16
  5. Step 5: Solve for x
    x = 9,425,378.16/3,282
  6. Step 6: Final answer
    x = 2,871.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.