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Finding the Fourth Proportional to 2,509.29, 3,763.67 and 660.33

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Solution

The fourth proportional to 2,509.29, 3,763.67 and 660.33 is: 990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.29 : 3,763.67 = 660.33 : x
  2. Step 2: Convert to fraction form
    2,509.29/3,763.67 = 660.33/x
  3. Step 3: Cross multiply
    2,509.29x = 3,763.67 × 660.33
  4. Step 4: Simplify right side
    2,509.29x = 2,485,260.91
  5. Step 5: Solve for x
    x = 2,485,260.91/2,509.29
  6. Step 6: Final answer
    x = 990.42

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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.