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Finding the Fourth Proportional to 2,735.78, 4,104.12 and 1,349.18

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Solution

The fourth proportional to 2,735.78, 4,104.12 and 1,349.18 is: 2,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.78 : 4,104.12 = 1,349.18 : x
  2. Step 2: Convert to fraction form
    2,735.78/4,104.12 = 1,349.18/x
  3. Step 3: Cross multiply
    2,735.78x = 4,104.12 × 1,349.18
  4. Step 4: Simplify right side
    2,735.78x = 5,537,196.62
  5. Step 5: Solve for x
    x = 5,537,196.62/2,735.78
  6. Step 6: Final answer
    x = 2,023.99

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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.