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Finding the Fourth Proportional to 2,732.66, 4,096.82 and 1,704.50

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Solution

The fourth proportional to 2,732.66, 4,096.82 and 1,704.50 is: 2,555.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.66 : 4,096.82 = 1,704.50 : x
  2. Step 2: Convert to fraction form
    2,732.66/4,096.82 = 1,704.50/x
  3. Step 3: Cross multiply
    2,732.66x = 4,096.82 × 1,704.50
  4. Step 4: Simplify right side
    2,732.66x = 6,983,029.69
  5. Step 5: Solve for x
    x = 6,983,029.69/2,732.66
  6. Step 6: Final answer
    x = 2,555.40

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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.