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Finding the Fourth Proportional to 3,034.37, 4,188.73 and 2,040.23

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Solution

The fourth proportional to 3,034.37, 4,188.73 and 2,040.23 is: 2,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.37 : 4,188.73 = 2,040.23 : x
  2. Step 2: Convert to fraction form
    3,034.37/4,188.73 = 2,040.23/x
  3. Step 3: Cross multiply
    3,034.37x = 4,188.73 × 2,040.23
  4. Step 4: Simplify right side
    3,034.37x = 8,545,941.46
  5. Step 5: Solve for x
    x = 8,545,941.46/3,034.37
  6. Step 6: Final answer
    x = 2,816.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.