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Finding the Fourth Proportional to 1,736.70, 2,605.07 and 438.22

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Solution

The fourth proportional to 1,736.70, 2,605.07 and 438.22 is: 657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.70 : 2,605.07 = 438.22 : x
  2. Step 2: Convert to fraction form
    1,736.70/2,605.07 = 438.22/x
  3. Step 3: Cross multiply
    1,736.70x = 2,605.07 × 438.22
  4. Step 4: Simplify right side
    1,736.70x = 1,141,593.78
  5. Step 5: Solve for x
    x = 1,141,593.78/1,736.70
  6. Step 6: Final answer
    x = 657.34

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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.