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Finding the Fourth Proportional to 2,760.90, 4,142.67 and 1,720.62

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Solution

The fourth proportional to 2,760.90, 4,142.67 and 1,720.62 is: 2,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.90 : 4,142.67 = 1,720.62 : x
  2. Step 2: Convert to fraction form
    2,760.90/4,142.67 = 1,720.62/x
  3. Step 3: Cross multiply
    2,760.90x = 4,142.67 × 1,720.62
  4. Step 4: Simplify right side
    2,760.90x = 7,127,960.86
  5. Step 5: Solve for x
    x = 7,127,960.86/2,760.90
  6. Step 6: Final answer
    x = 2,581.75

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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.