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Finding the Fourth Proportional to 3,205.14, 4,423.14 and 1,788.87

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Solution

The fourth proportional to 3,205.14, 4,423.14 and 1,788.87 is: 2,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.14 : 4,423.14 = 1,788.87 : x
  2. Step 2: Convert to fraction form
    3,205.14/4,423.14 = 1,788.87/x
  3. Step 3: Cross multiply
    3,205.14x = 4,423.14 × 1,788.87
  4. Step 4: Simplify right side
    3,205.14x = 7,912,422.45
  5. Step 5: Solve for x
    x = 7,912,422.45/3,205.14
  6. Step 6: Final answer
    x = 2,468.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.