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Finding the Fourth Proportional to 1,963.92, 2,945.25 and 1,834.50

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Solution

The fourth proportional to 1,963.92, 2,945.25 and 1,834.50 is: 2,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.92 : 2,945.25 = 1,834.50 : x
  2. Step 2: Convert to fraction form
    1,963.92/2,945.25 = 1,834.50/x
  3. Step 3: Cross multiply
    1,963.92x = 2,945.25 × 1,834.50
  4. Step 4: Simplify right side
    1,963.92x = 5,403,061.13
  5. Step 5: Solve for x
    x = 5,403,061.13/1,963.92
  6. Step 6: Final answer
    x = 2,751.16

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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.