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Finding the Fourth Proportional to 3,245.82, 4,869.45 and 1,513.50

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Solution

The fourth proportional to 3,245.82, 4,869.45 and 1,513.50 is: 2,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.82 : 4,869.45 = 1,513.50 : x
  2. Step 2: Convert to fraction form
    3,245.82/4,869.45 = 1,513.50/x
  3. Step 3: Cross multiply
    3,245.82x = 4,869.45 × 1,513.50
  4. Step 4: Simplify right side
    3,245.82x = 7,369,912.58
  5. Step 5: Solve for x
    x = 7,369,912.58/3,245.82
  6. Step 6: Final answer
    x = 2,270.59

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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.