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Finding the Fourth Proportional to 2,559, 3,528.81 and 2,410.20

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Solution

The fourth proportional to 2,559, 3,528.81 and 2,410.20 is: 3,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559 : 3,528.81 = 2,410.20 : x
  2. Step 2: Convert to fraction form
    2,559/3,528.81 = 2,410.20/x
  3. Step 3: Cross multiply
    2,559x = 3,528.81 × 2,410.20
  4. Step 4: Simplify right side
    2,559x = 8,505,137.86
  5. Step 5: Solve for x
    x = 8,505,137.86/2,559
  6. Step 6: Final answer
    x = 3,323.62

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Why These Related Problems?

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