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Finding the Fourth Proportional to 1,963.67, 2,945.19 and 647.44

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Solution

The fourth proportional to 1,963.67, 2,945.19 and 647.44 is: 971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.67 : 2,945.19 = 647.44 : x
  2. Step 2: Convert to fraction form
    1,963.67/2,945.19 = 647.44/x
  3. Step 3: Cross multiply
    1,963.67x = 2,945.19 × 647.44
  4. Step 4: Simplify right side
    1,963.67x = 1,906,833.81
  5. Step 5: Solve for x
    x = 1,906,833.81/1,963.67
  6. Step 6: Final answer
    x = 971.06

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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.