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Finding the Fourth Proportional to 1,791.99, 2,687.67 and 493.56

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Solution

The fourth proportional to 1,791.99, 2,687.67 and 493.56 is: 740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.99 : 2,687.67 = 493.56 : x
  2. Step 2: Convert to fraction form
    1,791.99/2,687.67 = 493.56/x
  3. Step 3: Cross multiply
    1,791.99x = 2,687.67 × 493.56
  4. Step 4: Simplify right side
    1,791.99x = 1,326,526.41
  5. Step 5: Solve for x
    x = 1,326,526.41/1,791.99
  6. Step 6: Final answer
    x = 740.25

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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.