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Finding the Fourth Proportional to 3,103.88, 4,655.81 and 795.38

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Solution

The fourth proportional to 3,103.88, 4,655.81 and 795.38 is: 1,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.88 : 4,655.81 = 795.38 : x
  2. Step 2: Convert to fraction form
    3,103.88/4,655.81 = 795.38/x
  3. Step 3: Cross multiply
    3,103.88x = 4,655.81 × 795.38
  4. Step 4: Simplify right side
    3,103.88x = 3,703,116.87
  5. Step 5: Solve for x
    x = 3,703,116.87/3,103.88
  6. Step 6: Final answer
    x = 1,193.06

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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.