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Finding the Fourth Proportional to 1,772.69, 2,659.07 and 540.09

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Solution

The fourth proportional to 1,772.69, 2,659.07 and 540.09 is: 810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.69 : 2,659.07 = 540.09 : x
  2. Step 2: Convert to fraction form
    1,772.69/2,659.07 = 540.09/x
  3. Step 3: Cross multiply
    1,772.69x = 2,659.07 × 540.09
  4. Step 4: Simplify right side
    1,772.69x = 1,436,138.47
  5. Step 5: Solve for x
    x = 1,436,138.47/1,772.69
  6. Step 6: Final answer
    x = 810.15

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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.