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Finding the Fourth Proportional to 2,786.72, 4,180.08 and 2,654

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Solution

The fourth proportional to 2,786.72, 4,180.08 and 2,654 is: 3,981.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.72 : 4,180.08 = 2,654 : x
  2. Step 2: Convert to fraction form
    2,786.72/4,180.08 = 2,654/x
  3. Step 3: Cross multiply
    2,786.72x = 4,180.08 × 2,654
  4. Step 4: Simplify right side
    2,786.72x = 11,093,932.32
  5. Step 5: Solve for x
    x = 11,093,932.32/2,786.72
  6. Step 6: Final answer
    x = 3,981.00

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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.