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Finding the Fourth Proportional to 2,681.72, 3,704.52 and 2,541.60

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Solution

The fourth proportional to 2,681.72, 3,704.52 and 2,541.60 is: 3,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.72 : 3,704.52 = 2,541.60 : x
  2. Step 2: Convert to fraction form
    2,681.72/3,704.52 = 2,541.60/x
  3. Step 3: Cross multiply
    2,681.72x = 3,704.52 × 2,541.60
  4. Step 4: Simplify right side
    2,681.72x = 9,415,408.03
  5. Step 5: Solve for x
    x = 9,415,408.03/2,681.72
  6. Step 6: Final answer
    x = 3,510.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.