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Finding the Fourth Proportional to 2,836.80, 4,255.20 and 2,052

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Solution

The fourth proportional to 2,836.80, 4,255.20 and 2,052 is: 3,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.80 : 4,255.20 = 2,052 : x
  2. Step 2: Convert to fraction form
    2,836.80/4,255.20 = 2,052/x
  3. Step 3: Cross multiply
    2,836.80x = 4,255.20 × 2,052
  4. Step 4: Simplify right side
    2,836.80x = 8,731,670.40
  5. Step 5: Solve for x
    x = 8,731,670.40/2,836.80
  6. Step 6: Final answer
    x = 3,078

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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.