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Finding the Fourth Proportional to 2,687.76, 4,022.84 and 2,432.00

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Solution

The fourth proportional to 2,687.76, 4,022.84 and 2,432.00 is: 3,640.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.76 : 4,022.84 = 2,432.00 : x
  2. Step 2: Convert to fraction form
    2,687.76/4,022.84 = 2,432.00/x
  3. Step 3: Cross multiply
    2,687.76x = 4,022.84 × 2,432.00
  4. Step 4: Simplify right side
    2,687.76x = 9,783,514.61
  5. Step 5: Solve for x
    x = 9,783,514.61/2,687.76
  6. Step 6: Final answer
    x = 3,640.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.