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Finding the Fourth Proportional to 2,449.52, 3,675 and 1,296.08

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Solution

The fourth proportional to 2,449.52, 3,675 and 1,296.08 is: 1,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.52 : 3,675 = 1,296.08 : x
  2. Step 2: Convert to fraction form
    2,449.52/3,675 = 1,296.08/x
  3. Step 3: Cross multiply
    2,449.52x = 3,675 × 1,296.08
  4. Step 4: Simplify right side
    2,449.52x = 4,763,094
  5. Step 5: Solve for x
    x = 4,763,094/2,449.52
  6. Step 6: Final answer
    x = 1,944.50

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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.