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Finding the Fourth Proportional to 4,775.64, 7,161.60 and 1,654.80

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Solution

The fourth proportional to 4,775.64, 7,161.60 and 1,654.80 is: 2,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.64 : 7,161.60 = 1,654.80 : x
  2. Step 2: Convert to fraction form
    4,775.64/7,161.60 = 1,654.80/x
  3. Step 3: Cross multiply
    4,775.64x = 7,161.60 × 1,654.80
  4. Step 4: Simplify right side
    4,775.64x = 11,851,015.68
  5. Step 5: Solve for x
    x = 11,851,015.68/4,775.64
  6. Step 6: Final answer
    x = 2,481.56

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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.