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Finding the Fourth Proportional to 2,983.84, 4,115.95 and 2,039.18

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Solution

The fourth proportional to 2,983.84, 4,115.95 and 2,039.18 is: 2,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.84 : 4,115.95 = 2,039.18 : x
  2. Step 2: Convert to fraction form
    2,983.84/4,115.95 = 2,039.18/x
  3. Step 3: Cross multiply
    2,983.84x = 4,115.95 × 2,039.18
  4. Step 4: Simplify right side
    2,983.84x = 8,393,137.24
  5. Step 5: Solve for x
    x = 8,393,137.24/2,983.84
  6. Step 6: Final answer
    x = 2,812.87

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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.