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Finding the Fourth Proportional to 3,077.70, 4,628.70 and 2,761.80

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Solution

The fourth proportional to 3,077.70, 4,628.70 and 2,761.80 is: 4,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.70 : 4,628.70 = 2,761.80 : x
  2. Step 2: Convert to fraction form
    3,077.70/4,628.70 = 2,761.80/x
  3. Step 3: Cross multiply
    3,077.70x = 4,628.70 × 2,761.80
  4. Step 4: Simplify right side
    3,077.70x = 12,783,543.66
  5. Step 5: Solve for x
    x = 12,783,543.66/3,077.70
  6. Step 6: Final answer
    x = 4,153.60

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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.