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Finding the Fourth Proportional to 4,282, 6,424.08 and 1,204

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Solution

The fourth proportional to 4,282, 6,424.08 and 1,204 is: 1,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282 : 6,424.08 = 1,204 : x
  2. Step 2: Convert to fraction form
    4,282/6,424.08 = 1,204/x
  3. Step 3: Cross multiply
    4,282x = 6,424.08 × 1,204
  4. Step 4: Simplify right side
    4,282x = 7,734,592.32
  5. Step 5: Solve for x
    x = 7,734,592.32/4,282
  6. Step 6: Final answer
    x = 1,806.30

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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.