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Finding the Fourth Proportional to 2,546.59, 3,820.72 and 1,608.45

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Solution

The fourth proportional to 2,546.59, 3,820.72 and 1,608.45 is: 2,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.59 : 3,820.72 = 1,608.45 : x
  2. Step 2: Convert to fraction form
    2,546.59/3,820.72 = 1,608.45/x
  3. Step 3: Cross multiply
    2,546.59x = 3,820.72 × 1,608.45
  4. Step 4: Simplify right side
    2,546.59x = 6,145,419.49
  5. Step 5: Solve for x
    x = 6,145,419.49/2,546.59
  6. Step 6: Final answer
    x = 2,413.20

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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.