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Finding the Fourth Proportional to 1,945.78, 2,685.50 and 1,160.29

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Solution

The fourth proportional to 1,945.78, 2,685.50 and 1,160.29 is: 1,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.78 : 2,685.50 = 1,160.29 : x
  2. Step 2: Convert to fraction form
    1,945.78/2,685.50 = 1,160.29/x
  3. Step 3: Cross multiply
    1,945.78x = 2,685.50 × 1,160.29
  4. Step 4: Simplify right side
    1,945.78x = 3,115,958.80
  5. Step 5: Solve for x
    x = 3,115,958.80/1,945.78
  6. Step 6: Final answer
    x = 1,601.39

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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.