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Finding the Fourth Proportional to 2,023.37, 2,774.03 and 1,986.46

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Solution

The fourth proportional to 2,023.37, 2,774.03 and 1,986.46 is: 2,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.37 : 2,774.03 = 1,986.46 : x
  2. Step 2: Convert to fraction form
    2,023.37/2,774.03 = 1,986.46/x
  3. Step 3: Cross multiply
    2,023.37x = 2,774.03 × 1,986.46
  4. Step 4: Simplify right side
    2,023.37x = 5,510,497.66
  5. Step 5: Solve for x
    x = 5,510,497.66/2,023.37
  6. Step 6: Final answer
    x = 2,723.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.