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Finding the Fourth Proportional to 1,963.43, 2,945.50 and 647.26

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Solution

The fourth proportional to 1,963.43, 2,945.50 and 647.26 is: 971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.43 : 2,945.50 = 647.26 : x
  2. Step 2: Convert to fraction form
    1,963.43/2,945.50 = 647.26/x
  3. Step 3: Cross multiply
    1,963.43x = 2,945.50 × 647.26
  4. Step 4: Simplify right side
    1,963.43x = 1,906,502.27
  5. Step 5: Solve for x
    x = 1,906,502.27/1,963.43
  6. Step 6: Final answer
    x = 971.01

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