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Finding the Fourth Proportional to 2,638.53, 3,953.97 and 1,804.80

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Solution

The fourth proportional to 2,638.53, 3,953.97 and 1,804.80 is: 2,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.53 : 3,953.97 = 1,804.80 : x
  2. Step 2: Convert to fraction form
    2,638.53/3,953.97 = 1,804.80/x
  3. Step 3: Cross multiply
    2,638.53x = 3,953.97 × 1,804.80
  4. Step 4: Simplify right side
    2,638.53x = 7,136,125.06
  5. Step 5: Solve for x
    x = 7,136,125.06/2,638.53
  6. Step 6: Final answer
    x = 2,704.58

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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.