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Finding the Fourth Proportional to 1,732.14, 2,598.73 and 808.23

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Solution

The fourth proportional to 1,732.14, 2,598.73 and 808.23 is: 1,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.14 : 2,598.73 = 808.23 : x
  2. Step 2: Convert to fraction form
    1,732.14/2,598.73 = 808.23/x
  3. Step 3: Cross multiply
    1,732.14x = 2,598.73 × 808.23
  4. Step 4: Simplify right side
    1,732.14x = 2,100,371.55
  5. Step 5: Solve for x
    x = 2,100,371.55/1,732.14
  6. Step 6: Final answer
    x = 1,212.59

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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.