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Finding the Fourth Proportional to 2,593.85, 3,579.59 and 1,415.03

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Solution

The fourth proportional to 2,593.85, 3,579.59 and 1,415.03 is: 1,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.85 : 3,579.59 = 1,415.03 : x
  2. Step 2: Convert to fraction form
    2,593.85/3,579.59 = 1,415.03/x
  3. Step 3: Cross multiply
    2,593.85x = 3,579.59 × 1,415.03
  4. Step 4: Simplify right side
    2,593.85x = 5,065,212.88
  5. Step 5: Solve for x
    x = 5,065,212.88/2,593.85
  6. Step 6: Final answer
    x = 1,952.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.