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Finding the Fourth Proportional to 2,790.82, 4,186.50 and 842.68

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Solution

The fourth proportional to 2,790.82, 4,186.50 and 842.68 is: 1,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.82 : 4,186.50 = 842.68 : x
  2. Step 2: Convert to fraction form
    2,790.82/4,186.50 = 842.68/x
  3. Step 3: Cross multiply
    2,790.82x = 4,186.50 × 842.68
  4. Step 4: Simplify right side
    2,790.82x = 3,527,879.82
  5. Step 5: Solve for x
    x = 3,527,879.82/2,790.82
  6. Step 6: Final answer
    x = 1,264.10

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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.