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Finding the Fourth Proportional to 2,738.46, 3,776.67 and 2,178.30

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Solution

The fourth proportional to 2,738.46, 3,776.67 and 2,178.30 is: 3,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.46 : 3,776.67 = 2,178.30 : x
  2. Step 2: Convert to fraction form
    2,738.46/3,776.67 = 2,178.30/x
  3. Step 3: Cross multiply
    2,738.46x = 3,776.67 × 2,178.30
  4. Step 4: Simplify right side
    2,738.46x = 8,226,720.26
  5. Step 5: Solve for x
    x = 8,226,720.26/2,738.46
  6. Step 6: Final answer
    x = 3,004.14

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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.