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Finding the Fourth Proportional to 2,903.73, 4,006.71 and 1,724.78

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Solution

The fourth proportional to 2,903.73, 4,006.71 and 1,724.78 is: 2,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.73 : 4,006.71 = 1,724.78 : x
  2. Step 2: Convert to fraction form
    2,903.73/4,006.71 = 1,724.78/x
  3. Step 3: Cross multiply
    2,903.73x = 4,006.71 × 1,724.78
  4. Step 4: Simplify right side
    2,903.73x = 6,910,673.24
  5. Step 5: Solve for x
    x = 6,910,673.24/2,903.73
  6. Step 6: Final answer
    x = 2,379.93

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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.