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Finding the Fourth Proportional to 2,305.92, 3,458.19 and 745.97

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Solution

The fourth proportional to 2,305.92, 3,458.19 and 745.97 is: 1,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.92 : 3,458.19 = 745.97 : x
  2. Step 2: Convert to fraction form
    2,305.92/3,458.19 = 745.97/x
  3. Step 3: Cross multiply
    2,305.92x = 3,458.19 × 745.97
  4. Step 4: Simplify right side
    2,305.92x = 2,579,715.82
  5. Step 5: Solve for x
    x = 2,579,715.82/2,305.92
  6. Step 6: Final answer
    x = 1,118.74

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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.