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Finding the Fourth Proportional to 2,431.82, 3,647.70 and 700.46

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Solution

The fourth proportional to 2,431.82, 3,647.70 and 700.46 is: 1,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.82 : 3,647.70 = 700.46 : x
  2. Step 2: Convert to fraction form
    2,431.82/3,647.70 = 700.46/x
  3. Step 3: Cross multiply
    2,431.82x = 3,647.70 × 700.46
  4. Step 4: Simplify right side
    2,431.82x = 2,555,067.94
  5. Step 5: Solve for x
    x = 2,555,067.94/2,431.82
  6. Step 6: Final answer
    x = 1,050.68

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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.