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Finding the Fourth Proportional to 3,034.40, 4,546.20 and 1,878.80

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Solution

The fourth proportional to 3,034.40, 4,546.20 and 1,878.80 is: 2,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.40 : 4,546.20 = 1,878.80 : x
  2. Step 2: Convert to fraction form
    3,034.40/4,546.20 = 1,878.80/x
  3. Step 3: Cross multiply
    3,034.40x = 4,546.20 × 1,878.80
  4. Step 4: Simplify right side
    3,034.40x = 8,541,400.56
  5. Step 5: Solve for x
    x = 8,541,400.56/3,034.40
  6. Step 6: Final answer
    x = 2,814.86

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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.