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Finding the Fourth Proportional to 1,736.67, 2,605.41 and 504.10

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Solution

The fourth proportional to 1,736.67, 2,605.41 and 504.10 is: 756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.67 : 2,605.41 = 504.10 : x
  2. Step 2: Convert to fraction form
    1,736.67/2,605.41 = 504.10/x
  3. Step 3: Cross multiply
    1,736.67x = 2,605.41 × 504.10
  4. Step 4: Simplify right side
    1,736.67x = 1,313,387.18
  5. Step 5: Solve for x
    x = 1,313,387.18/1,736.67
  6. Step 6: Final answer
    x = 756.27

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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.