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Finding the Fourth Proportional to 2,744.76, 4,115.89 and 1,184.02

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Solution

The fourth proportional to 2,744.76, 4,115.89 and 1,184.02 is: 1,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.76 : 4,115.89 = 1,184.02 : x
  2. Step 2: Convert to fraction form
    2,744.76/4,115.89 = 1,184.02/x
  3. Step 3: Cross multiply
    2,744.76x = 4,115.89 × 1,184.02
  4. Step 4: Simplify right side
    2,744.76x = 4,873,293.12
  5. Step 5: Solve for x
    x = 4,873,293.12/2,744.76
  6. Step 6: Final answer
    x = 1,775.49

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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.