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Finding the Fourth Proportional to 3,201.81, 4,419.09 and 1,925.34

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Solution

The fourth proportional to 3,201.81, 4,419.09 and 1,925.34 is: 2,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.81 : 4,419.09 = 1,925.34 : x
  2. Step 2: Convert to fraction form
    3,201.81/4,419.09 = 1,925.34/x
  3. Step 3: Cross multiply
    3,201.81x = 4,419.09 × 1,925.34
  4. Step 4: Simplify right side
    3,201.81x = 8,508,250.74
  5. Step 5: Solve for x
    x = 8,508,250.74/3,201.81
  6. Step 6: Final answer
    x = 2,657.33

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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.