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Finding the Fourth Proportional to 2,905.52, 4,358.24 and 2,043.68

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Solution

The fourth proportional to 2,905.52, 4,358.24 and 2,043.68 is: 3,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.52 : 4,358.24 = 2,043.68 : x
  2. Step 2: Convert to fraction form
    2,905.52/4,358.24 = 2,043.68/x
  3. Step 3: Cross multiply
    2,905.52x = 4,358.24 × 2,043.68
  4. Step 4: Simplify right side
    2,905.52x = 8,906,847.92
  5. Step 5: Solve for x
    x = 8,906,847.92/2,905.52
  6. Step 6: Final answer
    x = 3,065.49

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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.