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Finding the Fourth Proportional to 3,137.97, 4,330.38 and 1,811.67

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Solution

The fourth proportional to 3,137.97, 4,330.38 and 1,811.67 is: 2,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.97 : 4,330.38 = 1,811.67 : x
  2. Step 2: Convert to fraction form
    3,137.97/4,330.38 = 1,811.67/x
  3. Step 3: Cross multiply
    3,137.97x = 4,330.38 × 1,811.67
  4. Step 4: Simplify right side
    3,137.97x = 7,845,219.53
  5. Step 5: Solve for x
    x = 7,845,219.53/3,137.97
  6. Step 6: Final answer
    x = 2,500.09

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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.