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Finding the Fourth Proportional to 1,640.44, 2,461.61 and 716.23

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Solution

The fourth proportional to 1,640.44, 2,461.61 and 716.23 is: 1,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.44 : 2,461.61 = 716.23 : x
  2. Step 2: Convert to fraction form
    1,640.44/2,461.61 = 716.23/x
  3. Step 3: Cross multiply
    1,640.44x = 2,461.61 × 716.23
  4. Step 4: Simplify right side
    1,640.44x = 1,763,078.93
  5. Step 5: Solve for x
    x = 1,763,078.93/1,640.44
  6. Step 6: Final answer
    x = 1,074.76

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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.