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Finding the Fourth Proportional to 2,579.93, 3,560.29 and 1,401

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Solution

The fourth proportional to 2,579.93, 3,560.29 and 1,401 is: 1,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.93 : 3,560.29 = 1,401 : x
  2. Step 2: Convert to fraction form
    2,579.93/3,560.29 = 1,401/x
  3. Step 3: Cross multiply
    2,579.93x = 3,560.29 × 1,401
  4. Step 4: Simplify right side
    2,579.93x = 4,987,962.79
  5. Step 5: Solve for x
    x = 4,987,962.79/2,579.93
  6. Step 6: Final answer
    x = 1,933.37

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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.