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Finding the Fourth Proportional to 3,101.14, 4,648.02 and 2,171.67

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Solution

The fourth proportional to 3,101.14, 4,648.02 and 2,171.67 is: 3,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.14 : 4,648.02 = 2,171.67 : x
  2. Step 2: Convert to fraction form
    3,101.14/4,648.02 = 2,171.67/x
  3. Step 3: Cross multiply
    3,101.14x = 4,648.02 × 2,171.67
  4. Step 4: Simplify right side
    3,101.14x = 10,093,965.59
  5. Step 5: Solve for x
    x = 10,093,965.59/3,101.14
  6. Step 6: Final answer
    x = 3,254.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.