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Finding the Fourth Proportional to 2,509.35, 3,764.25 and 660.44

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Solution

The fourth proportional to 2,509.35, 3,764.25 and 660.44 is: 990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.35 : 3,764.25 = 660.44 : x
  2. Step 2: Convert to fraction form
    2,509.35/3,764.25 = 660.44/x
  3. Step 3: Cross multiply
    2,509.35x = 3,764.25 × 660.44
  4. Step 4: Simplify right side
    2,509.35x = 2,486,042.45
  5. Step 5: Solve for x
    x = 2,486,042.45/2,509.35
  6. Step 6: Final answer
    x = 990.71

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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.