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Finding the Fourth Proportional to 2,768.80, 4,146.72 and 2,114.32

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Solution

The fourth proportional to 2,768.80, 4,146.72 and 2,114.32 is: 3,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.80 : 4,146.72 = 2,114.32 : x
  2. Step 2: Convert to fraction form
    2,768.80/4,146.72 = 2,114.32/x
  3. Step 3: Cross multiply
    2,768.80x = 4,146.72 × 2,114.32
  4. Step 4: Simplify right side
    2,768.80x = 8,767,493.03
  5. Step 5: Solve for x
    x = 8,767,493.03/2,768.80
  6. Step 6: Final answer
    x = 3,166.53

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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.