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Finding the Fourth Proportional to 3,193, 4,406.26 and 1,776.70

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Solution

The fourth proportional to 3,193, 4,406.26 and 1,776.70 is: 2,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193 : 4,406.26 = 1,776.70 : x
  2. Step 2: Convert to fraction form
    3,193/4,406.26 = 1,776.70/x
  3. Step 3: Cross multiply
    3,193x = 4,406.26 × 1,776.70
  4. Step 4: Simplify right side
    3,193x = 7,828,602.14
  5. Step 5: Solve for x
    x = 7,828,602.14/3,193
  6. Step 6: Final answer
    x = 2,451.80

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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.