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Finding the Fourth Proportional to 1,729.14, 2,593.73 and 430.57

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Solution

The fourth proportional to 1,729.14, 2,593.73 and 430.57 is: 645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.14 : 2,593.73 = 430.57 : x
  2. Step 2: Convert to fraction form
    1,729.14/2,593.73 = 430.57/x
  3. Step 3: Cross multiply
    1,729.14x = 2,593.73 × 430.57
  4. Step 4: Simplify right side
    1,729.14x = 1,116,782.33
  5. Step 5: Solve for x
    x = 1,116,782.33/1,729.14
  6. Step 6: Final answer
    x = 645.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.