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Finding the Fourth Proportional to 2,903.76, 4,007.26 and 1,644.82

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Solution

The fourth proportional to 2,903.76, 4,007.26 and 1,644.82 is: 2,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.76 : 4,007.26 = 1,644.82 : x
  2. Step 2: Convert to fraction form
    2,903.76/4,007.26 = 1,644.82/x
  3. Step 3: Cross multiply
    2,903.76x = 4,007.26 × 1,644.82
  4. Step 4: Simplify right side
    2,903.76x = 6,591,221.39
  5. Step 5: Solve for x
    x = 6,591,221.39/2,903.76
  6. Step 6: Final answer
    x = 2,269.89

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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.