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Finding the Fourth Proportional to 2,600.20, 3,881.78 and 2,509.08

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Solution

The fourth proportional to 2,600.20, 3,881.78 and 2,509.08 is: 3,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.20 : 3,881.78 = 2,509.08 : x
  2. Step 2: Convert to fraction form
    2,600.20/3,881.78 = 2,509.08/x
  3. Step 3: Cross multiply
    2,600.20x = 3,881.78 × 2,509.08
  4. Step 4: Simplify right side
    2,600.20x = 9,739,696.56
  5. Step 5: Solve for x
    x = 9,739,696.56/2,600.20
  6. Step 6: Final answer
    x = 3,745.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.