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Finding the Fourth Proportional to 2,563.92, 3,841.16 and 1,520.91

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Solution

The fourth proportional to 2,563.92, 3,841.16 and 1,520.91 is: 2,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.92 : 3,841.16 = 1,520.91 : x
  2. Step 2: Convert to fraction form
    2,563.92/3,841.16 = 1,520.91/x
  3. Step 3: Cross multiply
    2,563.92x = 3,841.16 × 1,520.91
  4. Step 4: Simplify right side
    2,563.92x = 5,842,051.05
  5. Step 5: Solve for x
    x = 5,842,051.05/2,563.92
  6. Step 6: Final answer
    x = 2,278.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.