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Finding the Fourth Proportional to 3,209.73, 4,814.73 and 1,018.41

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Solution

The fourth proportional to 3,209.73, 4,814.73 and 1,018.41 is: 1,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.73 : 4,814.73 = 1,018.41 : x
  2. Step 2: Convert to fraction form
    3,209.73/4,814.73 = 1,018.41/x
  3. Step 3: Cross multiply
    3,209.73x = 4,814.73 × 1,018.41
  4. Step 4: Simplify right side
    3,209.73x = 4,903,369.18
  5. Step 5: Solve for x
    x = 4,903,369.18/3,209.73
  6. Step 6: Final answer
    x = 1,527.66

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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.