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Finding the Fourth Proportional to 2,652.08, 3,977.80 and 704.44

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Solution

The fourth proportional to 2,652.08, 3,977.80 and 704.44 is: 1,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.08 : 3,977.80 = 704.44 : x
  2. Step 2: Convert to fraction form
    2,652.08/3,977.80 = 704.44/x
  3. Step 3: Cross multiply
    2,652.08x = 3,977.80 × 704.44
  4. Step 4: Simplify right side
    2,652.08x = 2,802,121.43
  5. Step 5: Solve for x
    x = 2,802,121.43/2,652.08
  6. Step 6: Final answer
    x = 1,056.58

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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.