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Finding the Fourth Proportional to 2,591.46, 3,883.11 and 1,616.10

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Solution

The fourth proportional to 2,591.46, 3,883.11 and 1,616.10 is: 2,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.46 : 3,883.11 = 1,616.10 : x
  2. Step 2: Convert to fraction form
    2,591.46/3,883.11 = 1,616.10/x
  3. Step 3: Cross multiply
    2,591.46x = 3,883.11 × 1,616.10
  4. Step 4: Simplify right side
    2,591.46x = 6,275,494.07
  5. Step 5: Solve for x
    x = 6,275,494.07/2,591.46
  6. Step 6: Final answer
    x = 2,421.61

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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.