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Finding the Fourth Proportional to 3,077.90, 4,615.22 and 1,344.50

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Solution

The fourth proportional to 3,077.90, 4,615.22 and 1,344.50 is: 2,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.90 : 4,615.22 = 1,344.50 : x
  2. Step 2: Convert to fraction form
    3,077.90/4,615.22 = 1,344.50/x
  3. Step 3: Cross multiply
    3,077.90x = 4,615.22 × 1,344.50
  4. Step 4: Simplify right side
    3,077.90x = 6,205,163.29
  5. Step 5: Solve for x
    x = 6,205,163.29/3,077.90
  6. Step 6: Final answer
    x = 2,016.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.