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Finding the Fourth Proportional to 1,736.78, 2,605.19 and 438.21

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Solution

The fourth proportional to 1,736.78, 2,605.19 and 438.21 is: 657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.78 : 2,605.19 = 438.21 : x
  2. Step 2: Convert to fraction form
    1,736.78/2,605.19 = 438.21/x
  3. Step 3: Cross multiply
    1,736.78x = 2,605.19 × 438.21
  4. Step 4: Simplify right side
    1,736.78x = 1,141,618.12
  5. Step 5: Solve for x
    x = 1,141,618.12/1,736.78
  6. Step 6: Final answer
    x = 657.32

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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.