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Finding the Fourth Proportional to 2,561.04, 3,842.91 and 1,099.80

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Solution

The fourth proportional to 2,561.04, 3,842.91 and 1,099.80 is: 1,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.04 : 3,842.91 = 1,099.80 : x
  2. Step 2: Convert to fraction form
    2,561.04/3,842.91 = 1,099.80/x
  3. Step 3: Cross multiply
    2,561.04x = 3,842.91 × 1,099.80
  4. Step 4: Simplify right side
    2,561.04x = 4,226,432.42
  5. Step 5: Solve for x
    x = 4,226,432.42/2,561.04
  6. Step 6: Final answer
    x = 1,650.28

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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.