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Finding the Fourth Proportional to 2,768.60, 3,818.79 and 2,178.11

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Solution

The fourth proportional to 2,768.60, 3,818.79 and 2,178.11 is: 3,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.60 : 3,818.79 = 2,178.11 : x
  2. Step 2: Convert to fraction form
    2,768.60/3,818.79 = 2,178.11/x
  3. Step 3: Cross multiply
    2,768.60x = 3,818.79 × 2,178.11
  4. Step 4: Simplify right side
    2,768.60x = 8,317,725.59
  5. Step 5: Solve for x
    x = 8,317,725.59/2,768.60
  6. Step 6: Final answer
    x = 3,004.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.