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Finding the Fourth Proportional to 2,560.61, 3,842.29 and 1,099.89

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Solution

The fourth proportional to 2,560.61, 3,842.29 and 1,099.89 is: 1,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.61 : 3,842.29 = 1,099.89 : x
  2. Step 2: Convert to fraction form
    2,560.61/3,842.29 = 1,099.89/x
  3. Step 3: Cross multiply
    2,560.61x = 3,842.29 × 1,099.89
  4. Step 4: Simplify right side
    2,560.61x = 4,226,096.35
  5. Step 5: Solve for x
    x = 4,226,096.35/2,560.61
  6. Step 6: Final answer
    x = 1,650.43

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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.