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Finding the Fourth Proportional to 2,709.18, 3,735.18 and 2,672.46

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Solution

The fourth proportional to 2,709.18, 3,735.18 and 2,672.46 is: 3,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.18 : 3,735.18 = 2,672.46 : x
  2. Step 2: Convert to fraction form
    2,709.18/3,735.18 = 2,672.46/x
  3. Step 3: Cross multiply
    2,709.18x = 3,735.18 × 2,672.46
  4. Step 4: Simplify right side
    2,709.18x = 9,982,119.14
  5. Step 5: Solve for x
    x = 9,982,119.14/2,709.18
  6. Step 6: Final answer
    x = 3,684.55

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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.