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Finding the Fourth Proportional to 3,151, 4,349.46 and 1,909

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Solution

The fourth proportional to 3,151, 4,349.46 and 1,909 is: 2,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151 : 4,349.46 = 1,909 : x
  2. Step 2: Convert to fraction form
    3,151/4,349.46 = 1,909/x
  3. Step 3: Cross multiply
    3,151x = 4,349.46 × 1,909
  4. Step 4: Simplify right side
    3,151x = 8,303,119.14
  5. Step 5: Solve for x
    x = 8,303,119.14/3,151
  6. Step 6: Final answer
    x = 2,635.07

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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.