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Finding the Fourth Proportional to 2,735.69, 4,103.12 and 886.96

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Solution

The fourth proportional to 2,735.69, 4,103.12 and 886.96 is: 1,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.69 : 4,103.12 = 886.96 : x
  2. Step 2: Convert to fraction form
    2,735.69/4,103.12 = 886.96/x
  3. Step 3: Cross multiply
    2,735.69x = 4,103.12 × 886.96
  4. Step 4: Simplify right side
    2,735.69x = 3,639,288.62
  5. Step 5: Solve for x
    x = 3,639,288.62/2,735.69
  6. Step 6: Final answer
    x = 1,330.30

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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.