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Finding the Fourth Proportional to 1,988.46, 2,998.61 and 1,961.12

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Solution

The fourth proportional to 1,988.46, 2,998.61 and 1,961.12 is: 2,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.46 : 2,998.61 = 1,961.12 : x
  2. Step 2: Convert to fraction form
    1,988.46/2,998.61 = 1,961.12/x
  3. Step 3: Cross multiply
    1,988.46x = 2,998.61 × 1,961.12
  4. Step 4: Simplify right side
    1,988.46x = 5,880,623.95
  5. Step 5: Solve for x
    x = 5,880,623.95/1,988.46
  6. Step 6: Final answer
    x = 2,957.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.