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Finding the Fourth Proportional to 1,799, 2,483.70 and 1,179.08

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Solution

The fourth proportional to 1,799, 2,483.70 and 1,179.08 is: 1,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799 : 2,483.70 = 1,179.08 : x
  2. Step 2: Convert to fraction form
    1,799/2,483.70 = 1,179.08/x
  3. Step 3: Cross multiply
    1,799x = 2,483.70 × 1,179.08
  4. Step 4: Simplify right side
    1,799x = 2,928,481.00
  5. Step 5: Solve for x
    x = 2,928,481.00/1,799
  6. Step 6: Final answer
    x = 1,627.84

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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.