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Finding the Fourth Proportional to 1,673.47, 2,511.75 and 796.51

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Solution

The fourth proportional to 1,673.47, 2,511.75 and 796.51 is: 1,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.47 : 2,511.75 = 796.51 : x
  2. Step 2: Convert to fraction form
    1,673.47/2,511.75 = 796.51/x
  3. Step 3: Cross multiply
    1,673.47x = 2,511.75 × 796.51
  4. Step 4: Simplify right side
    1,673.47x = 2,000,633.99
  5. Step 5: Solve for x
    x = 2,000,633.99/1,673.47
  6. Step 6: Final answer
    x = 1,195.50

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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.