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Finding the Fourth Proportional to 2,509.09, 3,764.40 and 949.57

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Solution

The fourth proportional to 2,509.09, 3,764.40 and 949.57 is: 1,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.09 : 3,764.40 = 949.57 : x
  2. Step 2: Convert to fraction form
    2,509.09/3,764.40 = 949.57/x
  3. Step 3: Cross multiply
    2,509.09x = 3,764.40 × 949.57
  4. Step 4: Simplify right side
    2,509.09x = 3,574,556.56
  5. Step 5: Solve for x
    x = 3,574,556.56/2,509.09
  6. Step 6: Final answer
    x = 1,424.64

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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.