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Finding the Fourth Proportional to 3,209.48, 4,813.79 and 1,018.43

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Solution

The fourth proportional to 3,209.48, 4,813.79 and 1,018.43 is: 1,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.48 : 4,813.79 = 1,018.43 : x
  2. Step 2: Convert to fraction form
    3,209.48/4,813.79 = 1,018.43/x
  3. Step 3: Cross multiply
    3,209.48x = 4,813.79 × 1,018.43
  4. Step 4: Simplify right side
    3,209.48x = 4,902,478.99
  5. Step 5: Solve for x
    x = 4,902,478.99/3,209.48
  6. Step 6: Final answer
    x = 1,527.50

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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.