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Finding the Fourth Proportional to 3,208.42, 4,814.80 and 1,128.44

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Solution

The fourth proportional to 3,208.42, 4,814.80 and 1,128.44 is: 1,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.42 : 4,814.80 = 1,128.44 : x
  2. Step 2: Convert to fraction form
    3,208.42/4,814.80 = 1,128.44/x
  3. Step 3: Cross multiply
    3,208.42x = 4,814.80 × 1,128.44
  4. Step 4: Simplify right side
    3,208.42x = 5,433,212.91
  5. Step 5: Solve for x
    x = 5,433,212.91/3,208.42
  6. Step 6: Final answer
    x = 1,693.42

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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.