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Finding the Fourth Proportional to 2,063.52, 2,847.63 and 1,179.30

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Solution

The fourth proportional to 2,063.52, 2,847.63 and 1,179.30 is: 1,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.52 : 2,847.63 = 1,179.30 : x
  2. Step 2: Convert to fraction form
    2,063.52/2,847.63 = 1,179.30/x
  3. Step 3: Cross multiply
    2,063.52x = 2,847.63 × 1,179.30
  4. Step 4: Simplify right side
    2,063.52x = 3,358,210.06
  5. Step 5: Solve for x
    x = 3,358,210.06/2,063.52
  6. Step 6: Final answer
    x = 1,627.42

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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.