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Finding the Fourth Proportional to 2,802.93, 4,199.76 and 1,414.86

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Solution

The fourth proportional to 2,802.93, 4,199.76 and 1,414.86 is: 2,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.93 : 4,199.76 = 1,414.86 : x
  2. Step 2: Convert to fraction form
    2,802.93/4,199.76 = 1,414.86/x
  3. Step 3: Cross multiply
    2,802.93x = 4,199.76 × 1,414.86
  4. Step 4: Simplify right side
    2,802.93x = 5,942,072.43
  5. Step 5: Solve for x
    x = 5,942,072.43/2,802.93
  6. Step 6: Final answer
    x = 2,119.95

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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.