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Finding the Fourth Proportional to 3,091.95, 4,639.43 and 1,448.19

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Solution

The fourth proportional to 3,091.95, 4,639.43 and 1,448.19 is: 2,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.95 : 4,639.43 = 1,448.19 : x
  2. Step 2: Convert to fraction form
    3,091.95/4,639.43 = 1,448.19/x
  3. Step 3: Cross multiply
    3,091.95x = 4,639.43 × 1,448.19
  4. Step 4: Simplify right side
    3,091.95x = 6,718,768.89
  5. Step 5: Solve for x
    x = 6,718,768.89/3,091.95
  6. Step 6: Final answer
    x = 2,172.99

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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.