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Finding the Fourth Proportional to 2,735.45, 4,096.64 and 1,415.65

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Solution

The fourth proportional to 2,735.45, 4,096.64 and 1,415.65 is: 2,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.45 : 4,096.64 = 1,415.65 : x
  2. Step 2: Convert to fraction form
    2,735.45/4,096.64 = 1,415.65/x
  3. Step 3: Cross multiply
    2,735.45x = 4,096.64 × 1,415.65
  4. Step 4: Simplify right side
    2,735.45x = 5,799,408.42
  5. Step 5: Solve for x
    x = 5,799,408.42/2,735.45
  6. Step 6: Final answer
    x = 2,120.09

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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.