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Finding the Fourth Proportional to 2,682.72, 3,688.74 and 2,289.06

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Solution

The fourth proportional to 2,682.72, 3,688.74 and 2,289.06 is: 3,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.72 : 3,688.74 = 2,289.06 : x
  2. Step 2: Convert to fraction form
    2,682.72/3,688.74 = 2,289.06/x
  3. Step 3: Cross multiply
    2,682.72x = 3,688.74 × 2,289.06
  4. Step 4: Simplify right side
    2,682.72x = 8,443,747.18
  5. Step 5: Solve for x
    x = 8,443,747.18/2,682.72
  6. Step 6: Final answer
    x = 3,147.46

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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.