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Finding the Fourth Proportional to 3,103.46, 4,655.31 and 794.96

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Solution

The fourth proportional to 3,103.46, 4,655.31 and 794.96 is: 1,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.46 : 4,655.31 = 794.96 : x
  2. Step 2: Convert to fraction form
    3,103.46/4,655.31 = 794.96/x
  3. Step 3: Cross multiply
    3,103.46x = 4,655.31 × 794.96
  4. Step 4: Simplify right side
    3,103.46x = 3,700,785.24
  5. Step 5: Solve for x
    x = 3,700,785.24/3,103.46
  6. Step 6: Final answer
    x = 1,192.47

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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.