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Finding the Fourth Proportional to 2,513.43, 3,765.69 and 2,259.09

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Solution

The fourth proportional to 2,513.43, 3,765.69 and 2,259.09 is: 3,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.43 : 3,765.69 = 2,259.09 : x
  2. Step 2: Convert to fraction form
    2,513.43/3,765.69 = 2,259.09/x
  3. Step 3: Cross multiply
    2,513.43x = 3,765.69 × 2,259.09
  4. Step 4: Simplify right side
    2,513.43x = 8,507,032.62
  5. Step 5: Solve for x
    x = 8,507,032.62/2,513.43
  6. Step 6: Final answer
    x = 3,384.63

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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.