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Finding the Fourth Proportional to 2,277.69, 3,416.94 and 1,736.61

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Solution

The fourth proportional to 2,277.69, 3,416.94 and 1,736.61 is: 2,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.69 : 3,416.94 = 1,736.61 : x
  2. Step 2: Convert to fraction form
    2,277.69/3,416.94 = 1,736.61/x
  3. Step 3: Cross multiply
    2,277.69x = 3,416.94 × 1,736.61
  4. Step 4: Simplify right side
    2,277.69x = 5,933,892.17
  5. Step 5: Solve for x
    x = 5,933,892.17/2,277.69
  6. Step 6: Final answer
    x = 2,605.22

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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.