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Finding the Fourth Proportional to 3,141.96, 4,712.94 and 1,499.67

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Solution

The fourth proportional to 3,141.96, 4,712.94 and 1,499.67 is: 2,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.96 : 4,712.94 = 1,499.67 : x
  2. Step 2: Convert to fraction form
    3,141.96/4,712.94 = 1,499.67/x
  3. Step 3: Cross multiply
    3,141.96x = 4,712.94 × 1,499.67
  4. Step 4: Simplify right side
    3,141.96x = 7,067,854.73
  5. Step 5: Solve for x
    x = 7,067,854.73/3,141.96
  6. Step 6: Final answer
    x = 2,249.51

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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.