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Finding the Fourth Proportional to 2,579.82, 3,560.05 and 1,400.86

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Solution

The fourth proportional to 2,579.82, 3,560.05 and 1,400.86 is: 1,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.82 : 3,560.05 = 1,400.86 : x
  2. Step 2: Convert to fraction form
    2,579.82/3,560.05 = 1,400.86/x
  3. Step 3: Cross multiply
    2,579.82x = 3,560.05 × 1,400.86
  4. Step 4: Simplify right side
    2,579.82x = 4,987,137.84
  5. Step 5: Solve for x
    x = 4,987,137.84/2,579.82
  6. Step 6: Final answer
    x = 1,933.14

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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.