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Finding the Fourth Proportional to 3,103.50, 4,655.52 and 795

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Solution

The fourth proportional to 3,103.50, 4,655.52 and 795 is: 1,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.50 : 4,655.52 = 795 : x
  2. Step 2: Convert to fraction form
    3,103.50/4,655.52 = 795/x
  3. Step 3: Cross multiply
    3,103.50x = 4,655.52 × 795
  4. Step 4: Simplify right side
    3,103.50x = 3,701,138.40
  5. Step 5: Solve for x
    x = 3,701,138.40/3,103.50
  6. Step 6: Final answer
    x = 1,192.57

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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.