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Finding the Fourth Proportional to 3,003.63, 4,505.47 and 812.38

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Solution

The fourth proportional to 3,003.63, 4,505.47 and 812.38 is: 1,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.63 : 4,505.47 = 812.38 : x
  2. Step 2: Convert to fraction form
    3,003.63/4,505.47 = 812.38/x
  3. Step 3: Cross multiply
    3,003.63x = 4,505.47 × 812.38
  4. Step 4: Simplify right side
    3,003.63x = 3,660,153.44
  5. Step 5: Solve for x
    x = 3,660,153.44/3,003.63
  6. Step 6: Final answer
    x = 1,218.58

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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.