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Finding the Fourth Proportional to 4,204.88, 6,308.40 and 1,608.02

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Solution

The fourth proportional to 4,204.88, 6,308.40 and 1,608.02 is: 2,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.88 : 6,308.40 = 1,608.02 : x
  2. Step 2: Convert to fraction form
    4,204.88/6,308.40 = 1,608.02/x
  3. Step 3: Cross multiply
    4,204.88x = 6,308.40 × 1,608.02
  4. Step 4: Simplify right side
    4,204.88x = 10,144,033.37
  5. Step 5: Solve for x
    x = 10,144,033.37/4,204.88
  6. Step 6: Final answer
    x = 2,412.44

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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.