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Finding the Fourth Proportional to 3,108.96, 4,663.53 and 800.46

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Solution

The fourth proportional to 3,108.96, 4,663.53 and 800.46 is: 1,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.96 : 4,663.53 = 800.46 : x
  2. Step 2: Convert to fraction form
    3,108.96/4,663.53 = 800.46/x
  3. Step 3: Cross multiply
    3,108.96x = 4,663.53 × 800.46
  4. Step 4: Simplify right side
    3,108.96x = 3,732,969.22
  5. Step 5: Solve for x
    x = 3,732,969.22/3,108.96
  6. Step 6: Final answer
    x = 1,200.71

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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.