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Finding the Fourth Proportional to 3,091.99, 4,636.50 and 1,447.15

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Solution

The fourth proportional to 3,091.99, 4,636.50 and 1,447.15 is: 2,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.99 : 4,636.50 = 1,447.15 : x
  2. Step 2: Convert to fraction form
    3,091.99/4,636.50 = 1,447.15/x
  3. Step 3: Cross multiply
    3,091.99x = 4,636.50 × 1,447.15
  4. Step 4: Simplify right side
    3,091.99x = 6,709,710.98
  5. Step 5: Solve for x
    x = 6,709,710.98/3,091.99
  6. Step 6: Final answer
    x = 2,170.03

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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.