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Finding the Fourth Proportional to 1,945.11, 2,917.65 and 1,601.71

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Solution

The fourth proportional to 1,945.11, 2,917.65 and 1,601.71 is: 2,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.11 : 2,917.65 = 1,601.71 : x
  2. Step 2: Convert to fraction form
    1,945.11/2,917.65 = 1,601.71/x
  3. Step 3: Cross multiply
    1,945.11x = 2,917.65 × 1,601.71
  4. Step 4: Simplify right side
    1,945.11x = 4,673,229.18
  5. Step 5: Solve for x
    x = 4,673,229.18/1,945.11
  6. Step 6: Final answer
    x = 2,402.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.