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Finding the Fourth Proportional to 2,495.67, 3,744.96 and 936.77

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Solution

The fourth proportional to 2,495.67, 3,744.96 and 936.77 is: 1,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.67 : 3,744.96 = 936.77 : x
  2. Step 2: Convert to fraction form
    2,495.67/3,744.96 = 936.77/x
  3. Step 3: Cross multiply
    2,495.67x = 3,744.96 × 936.77
  4. Step 4: Simplify right side
    2,495.67x = 3,508,147.45
  5. Step 5: Solve for x
    x = 3,508,147.45/2,495.67
  6. Step 6: Final answer
    x = 1,405.69

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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.