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Finding the Fourth Proportional to 2,645.38, 3,648.81 and 1,945.54

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Solution

The fourth proportional to 2,645.38, 3,648.81 and 1,945.54 is: 2,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.38 : 3,648.81 = 1,945.54 : x
  2. Step 2: Convert to fraction form
    2,645.38/3,648.81 = 1,945.54/x
  3. Step 3: Cross multiply
    2,645.38x = 3,648.81 × 1,945.54
  4. Step 4: Simplify right side
    2,645.38x = 7,098,905.81
  5. Step 5: Solve for x
    x = 7,098,905.81/2,645.38
  6. Step 6: Final answer
    x = 2,683.51

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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.