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Finding the Fourth Proportional to 2,761.65, 4,138.41 and 2,178.08

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Solution

The fourth proportional to 2,761.65, 4,138.41 and 2,178.08 is: 3,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.65 : 4,138.41 = 2,178.08 : x
  2. Step 2: Convert to fraction form
    2,761.65/4,138.41 = 2,178.08/x
  3. Step 3: Cross multiply
    2,761.65x = 4,138.41 × 2,178.08
  4. Step 4: Simplify right side
    2,761.65x = 9,013,767.36
  5. Step 5: Solve for x
    x = 9,013,767.36/2,761.65
  6. Step 6: Final answer
    x = 3,263.91

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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.