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Finding the Fourth Proportional to 2,704.64, 4,051.68 and 1,777.37

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Solution

The fourth proportional to 2,704.64, 4,051.68 and 1,777.37 is: 2,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.64 : 4,051.68 = 1,777.37 : x
  2. Step 2: Convert to fraction form
    2,704.64/4,051.68 = 1,777.37/x
  3. Step 3: Cross multiply
    2,704.64x = 4,051.68 × 1,777.37
  4. Step 4: Simplify right side
    2,704.64x = 7,201,314.22
  5. Step 5: Solve for x
    x = 7,201,314.22/2,704.64
  6. Step 6: Final answer
    x = 2,662.58

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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.