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Finding the Fourth Proportional to 2,180.70, 3,271.58 and 719.78

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Solution

The fourth proportional to 2,180.70, 3,271.58 and 719.78 is: 1,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.70 : 3,271.58 = 719.78 : x
  2. Step 2: Convert to fraction form
    2,180.70/3,271.58 = 719.78/x
  3. Step 3: Cross multiply
    2,180.70x = 3,271.58 × 719.78
  4. Step 4: Simplify right side
    2,180.70x = 2,354,817.85
  5. Step 5: Solve for x
    x = 2,354,817.85/2,180.70
  6. Step 6: Final answer
    x = 1,079.84

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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.