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Finding the Fourth Proportional to 3,384.90, 5,071.14 and 1,998.99

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Solution

The fourth proportional to 3,384.90, 5,071.14 and 1,998.99 is: 2,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.90 : 5,071.14 = 1,998.99 : x
  2. Step 2: Convert to fraction form
    3,384.90/5,071.14 = 1,998.99/x
  3. Step 3: Cross multiply
    3,384.90x = 5,071.14 × 1,998.99
  4. Step 4: Simplify right side
    3,384.90x = 10,137,158.15
  5. Step 5: Solve for x
    x = 10,137,158.15/3,384.90
  6. Step 6: Final answer
    x = 2,994.82

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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.