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Finding the Fourth Proportional to 3,046, 4,204.27 and 1,986.41

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Solution

The fourth proportional to 3,046, 4,204.27 and 1,986.41 is: 2,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046 : 4,204.27 = 1,986.41 : x
  2. Step 2: Convert to fraction form
    3,046/4,204.27 = 1,986.41/x
  3. Step 3: Cross multiply
    3,046x = 4,204.27 × 1,986.41
  4. Step 4: Simplify right side
    3,046x = 8,351,388.49
  5. Step 5: Solve for x
    x = 8,351,388.49/3,046
  6. Step 6: Final answer
    x = 2,741.76

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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.