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Finding the Fourth Proportional to 2,466.96, 3,704.14 and 1,548.34

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Solution

The fourth proportional to 2,466.96, 3,704.14 and 1,548.34 is: 2,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.96 : 3,704.14 = 1,548.34 : x
  2. Step 2: Convert to fraction form
    2,466.96/3,704.14 = 1,548.34/x
  3. Step 3: Cross multiply
    2,466.96x = 3,704.14 × 1,548.34
  4. Step 4: Simplify right side
    2,466.96x = 5,735,268.13
  5. Step 5: Solve for x
    x = 5,735,268.13/2,466.96
  6. Step 6: Final answer
    x = 2,324.83

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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.