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Finding the Fourth Proportional to 2,748.54, 4,121.94 and 1,449.30

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Solution

The fourth proportional to 2,748.54, 4,121.94 and 1,449.30 is: 2,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.54 : 4,121.94 = 1,449.30 : x
  2. Step 2: Convert to fraction form
    2,748.54/4,121.94 = 1,449.30/x
  3. Step 3: Cross multiply
    2,748.54x = 4,121.94 × 1,449.30
  4. Step 4: Simplify right side
    2,748.54x = 5,973,927.64
  5. Step 5: Solve for x
    x = 5,973,927.64/2,748.54
  6. Step 6: Final answer
    x = 2,173.49

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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.