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Finding the Fourth Proportional to 3,209.85, 4,814.37 and 1,018.80

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Solution

The fourth proportional to 3,209.85, 4,814.37 and 1,018.80 is: 1,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.85 : 4,814.37 = 1,018.80 : x
  2. Step 2: Convert to fraction form
    3,209.85/4,814.37 = 1,018.80/x
  3. Step 3: Cross multiply
    3,209.85x = 4,814.37 × 1,018.80
  4. Step 4: Simplify right side
    3,209.85x = 4,904,880.16
  5. Step 5: Solve for x
    x = 4,904,880.16/3,209.85
  6. Step 6: Final answer
    x = 1,528.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.