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Finding the Fourth Proportional to 2,509.07, 3,764.92 and 1,633.31

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Solution

The fourth proportional to 2,509.07, 3,764.92 and 1,633.31 is: 2,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.07 : 3,764.92 = 1,633.31 : x
  2. Step 2: Convert to fraction form
    2,509.07/3,764.92 = 1,633.31/x
  3. Step 3: Cross multiply
    2,509.07x = 3,764.92 × 1,633.31
  4. Step 4: Simplify right side
    2,509.07x = 6,149,281.49
  5. Step 5: Solve for x
    x = 6,149,281.49/2,509.07
  6. Step 6: Final answer
    x = 2,450.82

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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.