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Finding the Fourth Proportional to 2,520.29, 3,772.63 and 2,305.01

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Solution

The fourth proportional to 2,520.29, 3,772.63 and 2,305.01 is: 3,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.29 : 3,772.63 = 2,305.01 : x
  2. Step 2: Convert to fraction form
    2,520.29/3,772.63 = 2,305.01/x
  3. Step 3: Cross multiply
    2,520.29x = 3,772.63 × 2,305.01
  4. Step 4: Simplify right side
    2,520.29x = 8,695,942.59
  5. Step 5: Solve for x
    x = 8,695,942.59/2,520.29
  6. Step 6: Final answer
    x = 3,450.37

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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.