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Finding the Fourth Proportional to 3,003.42, 4,504.80 and 812.37

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Solution

The fourth proportional to 3,003.42, 4,504.80 and 812.37 is: 1,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.42 : 4,504.80 = 812.37 : x
  2. Step 2: Convert to fraction form
    3,003.42/4,504.80 = 812.37/x
  3. Step 3: Cross multiply
    3,003.42x = 4,504.80 × 812.37
  4. Step 4: Simplify right side
    3,003.42x = 3,659,564.38
  5. Step 5: Solve for x
    x = 3,659,564.38/3,003.42
  6. Step 6: Final answer
    x = 1,218.47

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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.