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Finding the Fourth Proportional to 4,204.64, 6,308.40 and 1,608.32

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Solution

The fourth proportional to 4,204.64, 6,308.40 and 1,608.32 is: 2,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.64 : 6,308.40 = 1,608.32 : x
  2. Step 2: Convert to fraction form
    4,204.64/6,308.40 = 1,608.32/x
  3. Step 3: Cross multiply
    4,204.64x = 6,308.40 × 1,608.32
  4. Step 4: Simplify right side
    4,204.64x = 10,145,925.89
  5. Step 5: Solve for x
    x = 10,145,925.89/4,204.64
  6. Step 6: Final answer
    x = 2,413.03

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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.