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Finding the Fourth Proportional to 3,257.84, 4,886.80 and 949.44

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Solution

The fourth proportional to 3,257.84, 4,886.80 and 949.44 is: 1,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.84 : 4,886.80 = 949.44 : x
  2. Step 2: Convert to fraction form
    3,257.84/4,886.80 = 949.44/x
  3. Step 3: Cross multiply
    3,257.84x = 4,886.80 × 949.44
  4. Step 4: Simplify right side
    3,257.84x = 4,639,723.39
  5. Step 5: Solve for x
    x = 4,639,723.39/3,257.84
  6. Step 6: Final answer
    x = 1,424.17

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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.