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Finding the Fourth Proportional to 2,429.52, 3,645.74 and 968.44

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Solution

The fourth proportional to 2,429.52, 3,645.74 and 968.44 is: 1,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.52 : 3,645.74 = 968.44 : x
  2. Step 2: Convert to fraction form
    2,429.52/3,645.74 = 968.44/x
  3. Step 3: Cross multiply
    2,429.52x = 3,645.74 × 968.44
  4. Step 4: Simplify right side
    2,429.52x = 3,530,680.45
  5. Step 5: Solve for x
    x = 3,530,680.45/2,429.52
  6. Step 6: Final answer
    x = 1,453.24

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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.