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Finding the Fourth Proportional to 2,509.26, 3,763.90 and 1,776.62

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Solution

The fourth proportional to 2,509.26, 3,763.90 and 1,776.62 is: 2,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.26 : 3,763.90 = 1,776.62 : x
  2. Step 2: Convert to fraction form
    2,509.26/3,763.90 = 1,776.62/x
  3. Step 3: Cross multiply
    2,509.26x = 3,763.90 × 1,776.62
  4. Step 4: Simplify right side
    2,509.26x = 6,687,020.02
  5. Step 5: Solve for x
    x = 6,687,020.02/2,509.26
  6. Step 6: Final answer
    x = 2,664.94

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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.