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Finding the Fourth Proportional to 2,757.69, 4,135.46 and 1,002.15

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Solution

The fourth proportional to 2,757.69, 4,135.46 and 1,002.15 is: 1,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.69 : 4,135.46 = 1,002.15 : x
  2. Step 2: Convert to fraction form
    2,757.69/4,135.46 = 1,002.15/x
  3. Step 3: Cross multiply
    2,757.69x = 4,135.46 × 1,002.15
  4. Step 4: Simplify right side
    2,757.69x = 4,144,346.23
  5. Step 5: Solve for x
    x = 4,144,346.23/2,757.69
  6. Step 6: Final answer
    x = 1,502.83

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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.