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Finding the Fourth Proportional to 2,682.72, 3,705.96 and 2,553.12

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Solution

The fourth proportional to 2,682.72, 3,705.96 and 2,553.12 is: 3,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.72 : 3,705.96 = 2,553.12 : x
  2. Step 2: Convert to fraction form
    2,682.72/3,705.96 = 2,553.12/x
  3. Step 3: Cross multiply
    2,682.72x = 3,705.96 × 2,553.12
  4. Step 4: Simplify right side
    2,682.72x = 9,461,760.60
  5. Step 5: Solve for x
    x = 9,461,760.60/2,682.72
  6. Step 6: Final answer
    x = 3,526.93

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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.