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Finding the Fourth Proportional to 1,736.92, 2,605.29 and 438.31

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Solution

The fourth proportional to 1,736.92, 2,605.29 and 438.31 is: 657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.92 : 2,605.29 = 438.31 : x
  2. Step 2: Convert to fraction form
    1,736.92/2,605.29 = 438.31/x
  3. Step 3: Cross multiply
    1,736.92x = 2,605.29 × 438.31
  4. Step 4: Simplify right side
    1,736.92x = 1,141,924.66
  5. Step 5: Solve for x
    x = 1,141,924.66/1,736.92
  6. Step 6: Final answer
    x = 657.44

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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.