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Finding the Fourth Proportional to 1,988.49, 2,982.72 and 1,208.71

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Solution

The fourth proportional to 1,988.49, 2,982.72 and 1,208.71 is: 1,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.49 : 2,982.72 = 1,208.71 : x
  2. Step 2: Convert to fraction form
    1,988.49/2,982.72 = 1,208.71/x
  3. Step 3: Cross multiply
    1,988.49x = 2,982.72 × 1,208.71
  4. Step 4: Simplify right side
    1,988.49x = 3,605,244.95
  5. Step 5: Solve for x
    x = 3,605,244.95/1,988.49
  6. Step 6: Final answer
    x = 1,813.05

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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.