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Finding the Fourth Proportional to 2,704.47, 4,056.72 and 756.82

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Solution

The fourth proportional to 2,704.47, 4,056.72 and 756.82 is: 1,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.47 : 4,056.72 = 756.82 : x
  2. Step 2: Convert to fraction form
    2,704.47/4,056.72 = 756.82/x
  3. Step 3: Cross multiply
    2,704.47x = 4,056.72 × 756.82
  4. Step 4: Simplify right side
    2,704.47x = 3,070,206.83
  5. Step 5: Solve for x
    x = 3,070,206.83/2,704.47
  6. Step 6: Final answer
    x = 1,135.23

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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.