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Finding the Fourth Proportional to 2,257.62, 3,383.19 and 1,486.50

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Solution

The fourth proportional to 2,257.62, 3,383.19 and 1,486.50 is: 2,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.62 : 3,383.19 = 1,486.50 : x
  2. Step 2: Convert to fraction form
    2,257.62/3,383.19 = 1,486.50/x
  3. Step 3: Cross multiply
    2,257.62x = 3,383.19 × 1,486.50
  4. Step 4: Simplify right side
    2,257.62x = 5,029,111.94
  5. Step 5: Solve for x
    x = 5,029,111.94/2,257.62
  6. Step 6: Final answer
    x = 2,227.62

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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.