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Finding the Fourth Proportional to 2,627.64, 3,624.55 and 1,632.15

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Solution

The fourth proportional to 2,627.64, 3,624.55 and 1,632.15 is: 2,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.64 : 3,624.55 = 1,632.15 : x
  2. Step 2: Convert to fraction form
    2,627.64/3,624.55 = 1,632.15/x
  3. Step 3: Cross multiply
    2,627.64x = 3,624.55 × 1,632.15
  4. Step 4: Simplify right side
    2,627.64x = 5,915,805.20
  5. Step 5: Solve for x
    x = 5,915,805.20/2,627.64
  6. Step 6: Final answer
    x = 2,251.38

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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.