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Finding the Fourth Proportional to 2,873.52, 3,961.44 and 2,429.64

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Solution

The fourth proportional to 2,873.52, 3,961.44 and 2,429.64 is: 3,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.52 : 3,961.44 = 2,429.64 : x
  2. Step 2: Convert to fraction form
    2,873.52/3,961.44 = 2,429.64/x
  3. Step 3: Cross multiply
    2,873.52x = 3,961.44 × 2,429.64
  4. Step 4: Simplify right side
    2,873.52x = 9,624,873.08
  5. Step 5: Solve for x
    x = 9,624,873.08/2,873.52
  6. Step 6: Final answer
    x = 3,349.51

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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.